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Quadratic Inequality Calculator

Solve a quadratic inequality like ax² + bx + c > 0 — get the solution in interval notation, the roots, and a graph with the solution region shaded.

Solve  ax2 + bx + c  ≷ 0
a x2 + b x + c sign

a can't be 0. The tool finds where the quadratic satisfies the inequality, in interval notation.

Results

Solution (interval notation)
Roots
Discriminant
Opens
Vertex

Graph

ParabolaSolution regionRoots

Step-by-step