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Quadratic Equation Solver

Math
Calculators

Solve quadratic equations of the form ax² + bx + c = 0 effortlessly.

ax² + bx + c = 0
Coefficients
Enter coefficients to solve the equation.

Provide the values for a, b, and c to find the solution.

Formulas and conditions

2. Theory

Discriminant Formula:

D = b² - 4ac

  • • If D > 0: Two real roots

  • • If D = 0: One real root

  • • If D < 0: No real roots

Solution Formula:

x₁ = (-b + √D) / (2a)
x₂ = (-b - √D) / (2a)

Quadratic formula is valid only when a ≠ 0. If a = 0, the equation becomes linear.

Description
Solve quadratic equations of the form ax² + bx + c = 0 effortlessly. Enter the coefficients a, b, and c to find the roots of the equation. This tool provides step-by-step solutions and explanations for better understanding.
Categories
Math
Calculators