Understanding Quadratic Equations
Learn about quadratic equations and how to solve them.
A quadratic equation is a second-degree polynomial equation in a single variable x:
ax² + bx + c = 0
where a, b, and c are constants, and a ≠ 0.
Methods for Solving Quadratic Equations:
1. Quadratic Formula
x = (-b ± √(b² - 4ac)) / (2a)
This formula gives the roots of any quadratic equation.
2. Factoring
If the quadratic expression can be factored:
ax² + bx + c = a(x - r)(x - s)
Then r and s are the roots of the equation.