Solving quadratic equation algorithm - Flowchart

"In elementary algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form
ax^2+bx+c=0
where x represents an unknown, and a, b, and c are constants with a not equal to 0. If a = 0, then the equation is linear, not quadratic. The constants a, b, and c are called, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.
Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation only contains powers of x that are non-negative integers, and therefore it is a polynomial equation, and in particular it is a second degree polynomial equation since the greatest power is two.
Quadratic equations can be solved by a process known in American English as factoring and in other varieties of English as factorising, by completing the square, by using the quadratic formula, or by graphing." [Quadratic equation. Wikipedia]
The flowchart example "Solving quadratic equation algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

Solving quadratic equation flow chart

Used Solutions

Science and education >

Mathematics

Basic Diagramming

Mathematics is an exact science, which studies the values, spatial forms and quantitative relations. It is a science, in which is built large number of various diagrams, charts and graphs that present the material in a clear, visual and colorful form, help to analyze the information and to make certain conclusions. A diagram is a graphical representation of data using the linear segments or geometric shapes, which allows to evaluate the ratio of several values. Depending on the types of solved tasks are used the diagrams of different kinds. A graph is a diagram that shows quantitative dependencies of various processes using the curves. ConceptDraw DIAGRAM is a powerful intelligent and multifunctional vector engine for drawing different Mathematical diagrams and graphs, Mathematical illustrations, complex and simple Diagram mathematics, Flowcharts of equation solving process, Line graphs, Scatter plots, Histograms, Block diagrams, Bar charts, Divided bar diagrams, Pie charts, Area charts, Circular arrows diagrams, Venn diagrams, Bubble diagrams, Concept maps, and many others.

Mathematics

Mathematics is simply essential in many fields, such as natural science, medicine, finance, the social sciences, and engineering. Mathematicians often face the need for creating the mathematical drawings in order to explain different theories and equations. In order to make such illustrations, the ConceptDraw DIAGRAM diagramming and drawing software may be used. The Mathematics solution can be used while working in the ConceptDraw DIAGRAM application using its pre-made samples, templates, and vector shape libraries of both solid and plane geometric figures, trigonometrical functions and mathematical symbols. It may help many mathematicians to create numeral mathematical diagrams, mathematic illustrations and tape diagrams for either scientific or educational, or both purposes.

Euclidean algorithm - Flowchart

"In mathematics, the Euclidean algorithm, or Euclid's algorithm, is a method for computing the greatest common divisor (GCD) of two (usually positive) integers, also known as the greatest common factor (GCF) or highest common factor (HCF). ...
The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in general is defined in a more subtle way).
In its simplest form, Euclid's algorithm starts with a pair of positive integers, and forms a new pair that consists of the smaller number and the difference between the larger and smaller numbers. The process repeats until the numbers in the pair are equal. That number then is the greatest common divisor of the original pair of integers.
The main principle is that the GCD does not change if the smaller number is subtracted from the larger number. ... Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers, so this repetition will necessarily stop sooner or later - when the numbers are equal (if the process is attempted once more, one of the numbers will become 0)." [Euclidean algorithm. Wikipedia]
The flowchart example "Euclidean algorithm" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

Euclid's algorithm flow chart

Used Solutions

What is a Diagram >

Flowcharts

Science and education >

Mathematics

Types of Flowchart — Overview

When designing a process or an instruction in clear and understandable way, you should consider creating a flowchart. You can avoid spending a lot of time understanding complex concepts as they get clear with different diagrams. The flowcharts are very popular diagram type, they are useful at different fields from the description business processes to the presentation of cooking recipes. Basic Flowchart, Business Process Modeling Diagram, Process Flowchart, Cross Functional Flowchart, Procedure Flowchart, Data Flow Diagram, IDEF Flowchart, SDL Diagram, Workflow Diagram, Document Flowchart, Program Flowchart, Value Stream Map, System Flowchart, Highlight Flowchart, Sales Flowchart are the main types flowchart. The ConceptDraw DIAGRAM is one of the professional applications which has great advantages and using which you can create different types of Flowcharts easy and fast. Try to draw an illustrative and comprehensible diagram in ConceptDraw DIAGRAM describing the processes instead of writing complex long text and make sure how it is convenient. Visio is expensive, and if you use it in a team environment, these costs are compounded. ConceptDraw DIAGRAM is an affordable alternative to Visio and luckily, it comes with a team plan. ConceptDraw DIAGRAM can import and export Visio files, so Mac users can collaborate with PC users stuck on Microsoft's software.

How to Simplify Flow Charting

Physics Diagrams

ConceptDraw DIAGRAM diagramming and vector drawing software extended with Physics solution from the Science and Education area is the best for creating: physics diagrams, pictures which describe various physical facts and experiments, illustrations of various electrical, mechanical and optic processes, of any complexity quick and easy.

Management Tools — Total Quality Management

The Total Quality Management Diagram solution helps your organization visualize business and industrial processes. Create Total Quality Management diagrams for business process with ConceptDraw software.

Cylinder Venn Diagram

You need design Cylinder Venn Diagram? Nothing could be easier with ConceptDraw DIAGRAM vector diagramming and drawing software extended with Business Diagrams Solution from the Management Area. ConceptDraw DIAGRAM allows you to design various Venn Diagrams including Cylinder Venn Diagrams.

Mathematical Diagrams

ConceptDraw DIAGRAM diagramming and vector drawing software extended with Mathematics solution from the Science and Education area is the best for creating: mathematical diagrams, graphics, tape diagrams various mathematical illustrations of any complexity quick and easy. Mathematics solution provides 3 libraries: Plane Geometry Library, Solid Geometry Library, Trigonometric Functions Library.

Sales flowchart - Vector stencils library

The vector stencils library "Sales flowchart" contains 62 sales process flow chart symbols.
Use these flow chart icon set to draw your sales flowcharts, workflow diagrams and process charts with the ConceptDraw PRO diagramming and vector drawing software.
The sales process flowchart symbols library "Sales flowchart" is included in the Sales Flowcharts solution from the Marketing area of ConceptDraw Solution Park.

Annotation

Card

Check / audit (diamond)

Check / audit (square)

Collate

Comment / note symbol (brace)

Communication link

Compare (diamond)

Compare (square)

Completed form

Concurrency symbol (fork / join)

Conditional selector

Control transfer

Database

Data input / output

Decision

Decision indicator - No

Decision indicator - Yes

Delay

Direct access storage

Disk storage

Display

Divided process (table view)

Document

Entity (rounded)

Event

Extract

Flow line

Internal storage

Junction symbol

Lined document

Lined / shaded process

Loop limit

Manual file

Manual input

Manual operation

Merge

Multi document

Multi process

Off-page reference - arrow

Off-page reference - incoming

Off-page reference - outgoing

On-page reference/ Inspection point

Page

Paper tape

Predefined process

Prepare conditional

Process step

Reference point

Sequential access storage

Sort

Start (circle)

Start (ellipse)

Stickman pictogram

Stored data

Summary

Tagged document

Tagged process

Terminal point

Title block

Torso pictogram

Used Solutions

Marketing >

Sales Flowcharts

HR flowchart - Vector stencils library

The vector stencils library "HR flowchart" contains 62 flowchart symbols.
Use it to draw your HR flowcharts, workflow diagrams and process charts with the ConceptDraw PRO diagramming and vector drawing software.
The flow chart symbols library "HR flowchart" is included in the HR Flowcharts solution from the Management area of ConceptDraw Solution Park.

Annotation

Card

Check / audit (diamond)

Check / audit (square)

Collate

Comment / note symbol (brace)

Communication link

Compare (diamond)

Compare (square)

Completed form

Concurrency symbol (fork / join)

Conditional selector

Control transfer

Data input / output

Database

Decision

Decision indicator - No

Decision indicator - Yes

Delay

Direct access storage

Disk storage

Display

Divided process (table view)

Document

Entity (rounded)

Event

Extract

Flow line

Internal storage

Junction symbol

Lined document

Lined / shaded process

Loop limit

Manual file

Manual input

Manual operation

Merge

Multi document

Multi process

Off-page reference - arrow

Off-page reference - incoming

Off-page reference - outgoing

On-page reference/ Inspection point

Page

Paper tape

Predefined process

Prepare conditional

Process step

Reference point

Sequential access storage

Sort

Start (circle)

Start (ellipse)

Stickman pictogram

Stored data

Summary

Tagged document

Tagged process

Terminal point

Title block

Torso pictogram

Used Solutions

Management >

HR Flowcharts

The Circular Flow Diagram

ConceptDraw DIAGRAM diagramming and vector drawing software extended with Target and Circular Diagrams solution from the Marketing area of ConceptDraw Solution Park is perfect for the Circular Flow Diagram creating.

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Design elements - Trigonometric functions

The vector stencils library "Trigonometric functions" contains 8 shapes of trigonometrical and inverse trigonometrical functions graphs.
"In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.
The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle with radius 1 unit, where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers." [Trigonometric functions. Wikipedia]
The shapes example "Design elements - Trigonometric functions" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

Trigonometrical and inverse trigonometrical functions - Graphs

Used Solutions

Science and education >

Mathematics

Polygon types

"In geometry a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain or circuit. These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners. The interior of the polygon is sometimes called its body. An n-gon is a polygon with n sides. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions. ...
The basic geometrical notion has been adapted in various ways to suit particular purposes. Mathematicians are often concerned only with the bounding closed polygonal chain and with simple polygons which do not self-intersect, and they often define a polygon accordingly. A polygonal boundary may be allowed to intersect itself, creating star polygons. Geometrically two edges meeting at a corner are required to form an angle that is not straight (180°); otherwise, the line segments may be considered parts of a single edge; however mathematically, such corners may sometimes be allowed. These and other generalizations of polygons are described below." [Polygon. Wikipedia]
The geometry diagram example "Polygon types" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

Polygon types

Used Solutions

Science and education >

Mathematics

Plane geometry - Vector stencils library

The vector stencils library "Plane geometry" contains 27 plane geometric figures.
Use these shapes to draw your geometrical diagrams and illustrations in the ConceptDraw PRO diagramming and vector drawing software extended with the Mathematics solution from the Science and Education area of ConceptDraw Solution Park.

Circular sector