Understanding the Quadratic Formula

The quadratic formula is used to solve equations of the form ax² + bx + c = 0.

The solution is given by:

x = - b ± b2 - 4 a c 2 a

Where a, b, and c are coefficients of the quadratic equation.

Example Problem

Solve: x² - 5x + 6 = 0

Here, a = 1, b = -5, c = 6

Using the formula: x = (5 ± √(25-24))/2 = (5 ± 1)/2

Therefore, x = 3 or x = 2