Self-Contained Quadratic Formula Calculator

QUADRATIC FORMULA CALCULATOR

Solve any quadratic equation of the form ax² + bx + c = 0 with real and complex solutions. Get step-by-step explanations instantly.

ax² + bx + c = 0

QUADRATIC FORMULA

x = [ -b ± √(b² – 4ac) ] / (2a)

The quadratic formula provides the solution(s) to any quadratic equation. The expression under the square root (b² – 4ac) is called the discriminant (D).

• If D > 0, there are two distinct real roots

• If D = 0, there is one real root (repeated)

• If D < 0, there are two complex conjugate roots

SOLUTION

Solution 1 (x₁)
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Solution 2 (x₂)
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DISCRIMINANT (D = b² – 4ac)
0
The discriminant determines the nature of roots
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