This tool calculates the x-intercept of a linear equation for you.
How to Use the x-Intercept Calculator
To use this calculator, simply follow these steps:
- Enter the coefficients a, b, and c of the quadratic equation ax2 + bx + c = 0 into the respective input fields.
- Click the “Calculate” button.
- The x-intercepts (if they exist) will be displayed in the Result field.
How the Calculator Works
This x-intercept calculator calculates the roots of a quadratic equation of the form ax2 + bx + c = 0. It uses the quadratic formula:
x = (-b ± √(b2 – 4ac)) / 2a
The values of a, b, and c are input by the user, and the calculator computes the discriminant (b2 – 4ac). If the discriminant is positive, there are two real and distinct roots. If it is zero, there is one real root. If it is negative, the calculator will display “No real roots,” indicating that the roots are complex and thus not considered x-intercepts.
Limitations
This calculator only works for quadratic equations (degree 2 polynomials) and provides real roots. If the coefficients entered do not produce real roots, the calculator will indicate that there are no real roots. Please ensure the coefficients entered are for a valid quadratic equation.