Quadratic Equation Solver
MathSolve a quadratic equation (ax² + bx + c = 0) for its real roots using the quadratic formula.
Root 1 (x₁)
The first real root, valid when the discriminant is non-negative.
Discriminant
1.00
If positive, two real roots exist. If zero, one root. If negative, the roots are complex (not shown).
Root 2 (x₂)
1.0000
The second real root, valid when the discriminant is non-negative.
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Odeh Ahwal0people find this calculator helpful
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Creators
Odeh Ahwal0people find this calculator helpful
Views
Helpful
Saved
Embeds
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Frequently Asked Questions
What is the quadratic formula?
The quadratic formula, x = (-b ± √(b²-4ac)) / 2a, solves any equation in the form ax² + bx + c = 0 for its roots (the values of x where the equation equals zero).
What does a negative discriminant mean?
A negative discriminant (b²-4ac < 0) means the equation has no real roots — only complex roots, which this calculator does not display.
What if a equals 0?
If a = 0, the equation is no longer quadratic (it becomes linear), and the quadratic formula does not apply. Make sure a is non-zero.
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