Quadratic Root Hunt
Find exact roots of factorable quadratic equations using integers and the discriminant, from easy monic cases to advanced nonmonic examples.
Math puzzle
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Instructions, device progress and accessibility
Choose Easy, Normal or Hard. Select Practice or the daily puzzle (UTC). Complete every algebra field, then choose Check answer. Hints and Undo mark the round as assisted. Progress stays on this device; daily puzzles reset at 00:00 UTC.
Local progress is checked when play begins.
How to play Quadratic Root Hunt
Find exact roots of factorable quadratic equations using integers and the discriminant, from easy monic cases to advanced nonmonic examples. Choose a difficulty, work through each puzzle and enter exact values or select the correctly rearranged formula. The free Daily and Practice modes keep progress on your device.
Worked algebra example
For x² − 5x + 6 = 0, factor (x − 2)(x − 3)=0; the two roots are 2 and 3.
Key formulas and common mistakes
For ax² + bx + c = 0, roots are (−b ± √(b² − 4ac)) ÷ (2a), with a ≠ 0. The discriminant is b² − 4ac.
Frequently asked questions
Why are there sometimes two real roots?
A quadratic can cross the x-axis twice. Every challenge here has two distinct integer roots.
What is the discriminant?
The discriminant b² − 4ac determines the nature of the roots and is tested in the Hard difficulty.