MulticalcQuadratic Formula Solver
Solve Equations of type ax² + bx + c = 0ax² + bx + c = 0
Equation Results
Enter coefficients to see the roots and vertex.
The Quadratic Formula Guide
What is a Quadratic Equation?
A quadratic equation is a second-order polynomial equation in a single variable x, with a non-zero coefficient for x². The standard form is:
ax² + bx + c = 0
Where a, b, and c are constants and a ≠ 0.
Solving with the Formula
To find the roots (values of x that satisfy the equation), we use the famous quadratic formula:
x = [-b ± √(b² - 4ac)] / 2a
The Discriminant (D)
The value inside the square root, D = b² - 4ac, determines the nature of the roots:
- D > 0 Two distinct real roots.
- D = 0 One real repeated root.
- D < 0 Two complex (imaginary) roots.
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Calculator Tip
Use this tool to verify your algebra homework or to find the intercepts of a parabolic path in physics problems.
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