(x+5)(x-5)=75

less than a minute read Jun 17, 2024

Solving the Equation (x+5)(x-5) = 75

This equation presents a simple quadratic equation that we can solve using various methods. Let's break down the steps:

The first step is to expand the left side of the equation using the difference of squares pattern:

(x+5)(x-5) = x² - 5²

This simplifies to:

x² - 25 = 75

Next, we move the constant term to the right side of the equation:

x² = 75 + 25

This gives us:

x² = 100

To find the value of x, we take the square root of both sides of the equation:

x = ±√100

This results in two possible solutions:

x = 10 or x = -10

Therefore, the solutions to the equation (x+5)(x-5) = 75 are x = 10 and x = -10.