Solve any quadratic equation of the form ax² + bx + c = 0. Enter the three coefficients to find all roots, the discriminant, vertex, and factored form.
An equation of the form ax² + bx + c = 0 where a ≠ 0. It always has two solutions.
x = (-b ± √(b²-4ac)) / 2a. Substitute a, b, c to get two solutions.
b²-4ac. Positive: two real roots. Zero: one repeated root. Negative: two complex roots.
a=1, b=-5, c=6. Discriminant=1. x = (5±1)/2. Solutions: x=3 and x=2.
Projectile motion, profit optimisation, area calculations, and engineering stress analysis.