Question 1

What is the quadratic formula?

Accepted Answer

x = (-b ± √(b²-4ac)) / 2a. It gives the roots of any quadratic equation ax²+bx+c=0.

Question 2

What is the discriminant?

Accepted Answer

The discriminant D = b²-4ac determines the nature of roots. D>0: two real roots, D=0: one repeated root, D<0: two complex roots.

Question 3

What is the vertex of a parabola?

Accepted Answer

The vertex is the highest or lowest point of the parabola. x = -b/(2a), y = f(-b/(2a)). If a>0, it's a minimum; if a<0, it's a maximum.

Quadratic Equation Solver

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