Quadratic Formula Calculator
Quadratic Formula Calculator
Solve any quadratic equation instantly using the standard formula.
ax² + bx + c = 0
a
b
c
Discriminant (Δ)
0
Nature of roots
Root 1 (x₁)
0
Root 2 (x₂)
0
What is a Quadratic Equation?
In algebra, a quadratic equation is any equation that can be rearranged in standard form as ax² + bx + c = 0, where x represents an unknown, and a, b, and c represent known numbers, where a is not equal to 0.
The Quadratic Formula is: x = [-b ± √(b² – 4ac)] / 2a. The part of the formula under the square root (b² – 4ac) is called the Discriminant, and it tells you the nature of the roots (whether they are real, repeated, or complex/imaginary).
Frequently Asked Questions
What happens if the Discriminant is negative?
If the discriminant (b² – 4ac) is less than zero, it means the equation has no real solutions. Instead, it has two complex (imaginary) roots containing ‘i’ (where i = √-1). Our calculator handles and displays complex roots automatically!