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Mathematics · Algorithms · Education

Quadratic Equation Flowchart

Type FlowchartStandard Sugiyama layered DAG + orthogonal routingEngine schematex-flowchartUpdated 9/22/2026
Quadratic Equation Flowchart
Drawing preview
The scenario

A student or developer inputs coefficients a, b, and c for a quadratic equation. The flowchart first rejects the not-quadratic case when a=0, then computes the discriminant and routes to distinct real, repeated, or complex conjugate roots.

What is in this drawing

Read the decisions behind it.

01

Is the coefficient a zero?

02

Is the discriminant greater than zero?

03

Is the discriminant equal to zero?

Use when teaching or implementing a quadratic equation solver that must handle linear degeneracy and all three root cases.

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