Question 1

How do I solve a quadratic equation?

Accepted Answer

Enter the coefficients a, b, and c of your equation ax² + bx + c = 0. The calculator uses the quadratic formula x = (-b ± √(b²-4ac)) / 2a to find the roots.

Question 2

What does the discriminant tell me?

Accepted Answer

The discriminant is Δ = b² - 4ac. If Δ > 0, there are two distinct real roots. If Δ = 0, there is one repeated real root. If Δ < 0, there are two complex conjugate roots.

Question 3

What is the vertex of a parabola?

Accepted Answer

The vertex is the highest or lowest point of the parabola. Its x-coordinate is -b/(2a), and the y-coordinate is found by substituting back into the equation.

Question 4

Can this solve equations with complex roots?

Accepted Answer

Yes. When the discriminant is negative, the calculator shows the complex roots in the form a ± bi, where i is the imaginary unit.