X Intercept Calculator
Calculate the x-intercepts (roots) of a quadratic equation ax² + bx + c = 0. Enter the coefficients a, b, and c to find the real or complex roots.
Published by:
isCalculator Editorial Team
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How to use this tool?
This calculator finds the x-intercepts (roots) of a quadratic equation in the form ax² + bx + c = 0.
- Enter coefficients – Type values for a, b, and c in the input fields. Use decimals or integers as needed (e.g., 1, -3.5, 2).
- Click "Calculate" – The calculator computes the discriminant and applies the quadratic formula.
- Read the result – The output shows:
- Two distinct real roots (if discriminant > 0)
- One double root (if discriminant = 0)
- Two complex conjugate roots (if discriminant < 0)
- Use "Clear" to reset all fields and start a new calculation.
Note: Coefficient a cannot be zero (the equation must be quadratic). All values are treated as real numbers; no unit conversion is needed.
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Frequently Asked Questions
An x-intercept is a point where the graph of a function crosses the x-axis. For a quadratic equation, it corresponds to the roots (solutions) of the equation.
Yes, coefficients can be any real number, including decimals. However, a cannot be zero.
If the discriminant is negative, the quadratic has two complex (imaginary) roots. The calculator will display them in the form a + bi.
