# 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. Read more

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. Read more

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## 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 PRO 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. Read moreQUICK LINKS

"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. Read more

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. Read more

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## Flowcharts

The Flowcharts Solution for ConceptDraw PRO v10 is a comprehensive set of examples and samples in several different color themes for professionals that need to graphically represent a process. Solution value is added by basic flow chart template and shapes' library of Flowchart notation. ConceptDraw PRO flow chart creator lets one depict a processes of any complexity and length, as well design of the flowchart either vertically or horizontally. Read more

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## Basic Flowchart Symbols and Meaning

Flowcharts are the best for visually representation the business processes and the flow of a custom-order process through various departments within an organization. ConceptDraw PRO diagramming and vector drawing software extended with Flowcharts solution offers the full set of predesigned basic flowchart symbols which are gathered at two libraries: Flowchart and Flowcharts Rapid Draw. Among them are: process, terminator, decision, data, document, display, manual loop, and many other specific symbols. The meaning for each symbol offered by ConceptDraw gives the presentation about their proposed use in professional Flowcharts for business and technical processes, software algorithms, well-developed structures of web sites, Workflow diagrams, Process flow diagram and correlation in developing on-line instructional projects or business process system. Use of ready flow chart symbols in diagrams is incredibly useful - you need simply drag desired from the libraries to your document and arrange them in required order. There are a few serious alternatives to Visio for Mac, one of them is ConceptDraw PRO. It is one of the main contender with the most similar features and capabilities. Read moreGET MY CONCEPTDRAW SOFTWARE

## Draw Company Structure with Organization Charting Software

Draw Company Structure Diagram - get the detailed information about the company structure and hierarchy - who execute what tasks and who is in charge at this company. This information shows the reasoning and success of business and is indispensable for investors and financial institutions.

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## Program Evaluation and Review Technique (PERT) with ConceptDraw PRO

Program Evaluation and Review Technique (abbr. PERT) is a method developed by Ministry of Defense of the USA in 1958 for the project of creation the missile system Polaris. PERT diagram is one of the tools for project management that lets greatly simplify the planning and scheduling of large and complex projects. PERT diagram provides evaluation of project run-time and labor forces, it helps to analyze the time necessary for execution each of project tasks and the whole project, and to calculate the project critical path. PERT chart depicts the set of tasks connected each other in order of their execution and is constructed according to one of definite rules - AOA (activity on arrow) or AON (activity on node). It doesn't give you ready concrete decisions, but helps to find them. Design easy the PERT diagrams in ConceptDraw PRO software enhanced with Seven Management and Planning Tools solution from Management area of ConceptDraw Solution Park. You have a possibility to build the PERT chart of any type, but AON variant is easier for building and perception. Read moreGET MY CONCEPTDRAW SOFTWARE

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. Read more

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## How to Discover Critical Path on a Gantt Chart

ConceptDraw PROJECT is the Gantt chart software that implements critical path method to provide the user with a wide set of project management tools. Read moreQUICK LINKS

## Fault Tree Analysis Diagrams

This solution extends ConceptDraw PRO v9.5 or later with templates, fault tree analysis example, samples and a library of vector design elements for drawing FTA diagrams (or negative analytical trees), cause and effect diagrams and fault tree diagrams. Read more

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## Seating Plans

The correct and convenient arrangement of tables, chairs and other furniture in auditoriums, theaters, cinemas, banquet halls, restaurants, and many other premises and buildings which accommodate large quantity of people, has great value and in many cases requires drawing detailed plans. The Seating Plans Solution is specially developed for their easy construction. Read more

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## Wireless Networks

The Wireless Networks Solution extends ConceptDraw PRO software with professional diagramming tools to help network engineers and designers efficiently design and create wireless network diagrams that illustrate wireless networks of any speed and complexity. Read more

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