Quadratic Equation Calculator

Q: What if a is 0?

If a = 0, the equation is linear, not quadratic. Use the Equation Solver instead.

Q: Does this support imaginary roots?

No, this calculator only shows real roots. If the discriminant is negative, it reports no real roots.

Q: What if both roots are the same?

This happens when Δ = 0, meaning a double root. For example, x² − 2x + 1 = 0 has root x = 1.

Q: Can coefficients be decimals?

Yes, decimal coefficients are fully supported.

Question 1

What is the discriminant?

Answer

The discriminant Δ = b² − 4ac tells you how many real roots exist: Δ > 0 means two real roots, Δ = 0 means one real root, Δ < 0 means no real roots.

Question 2

What if a is 0?

Answer

If a = 0, the equation is linear, not quadratic. Use the Equation Solver instead.

Question 3

Does this support imaginary roots?

Answer

No, this calculator only shows real roots. If the discriminant is negative, it reports no real roots.

Question 4

What if both roots are the same?

Answer

This happens when Δ = 0, meaning a double root. For example, x² − 2x + 1 = 0 has root x = 1.

Question 5

Can coefficients be decimals?

Answer

Yes, decimal coefficients are fully supported.

Question 6

What is the discriminant?

Answer

The discriminant Δ = b² − 4ac tells you how many real roots exist: Δ > 0 means two real roots, Δ = 0 means one real root, Δ < 0 means no real roots.

Question 7

What if a is 0?

Answer

If a = 0, the equation is linear, not quadratic. Use the Equation Solver instead.

Question 8

Does this support imaginary roots?

Answer

No, this calculator only shows real roots. If the discriminant is negative, it reports no real roots.

Question 9

What if both roots are the same?

Answer

This happens when Δ = 0, meaning a double root. For example, x² − 2x + 1 = 0 has root x = 1.

Question 10

Can coefficients be decimals?

Answer

Yes, decimal coefficients are fully supported.

Quadratic Equation Calculator

Formula

How It Works

Examples

Solve x² − 3x + 2 = 0

Solve x² − 4 = 0

Frequently Asked Questions

What is the discriminant?

What if a is 0?

Does this support imaginary roots?

What if both roots are the same?

Can coefficients be decimals?

Related Calculators

Quadratic Equation Calculator

Formula

How It Works

Examples

Solve x² − 3x + 2 = 0

Solve x² − 4 = 0

Frequently Asked Questions

What is the discriminant?

What if a is 0?

Does this support imaginary roots?

What if both roots are the same?

Can coefficients be decimals?

Related Calculators