(x-9)(x+9)=19

less than a minute read Jun 17, 2024

Solving the Equation (x - 9)(x + 9) = 19

This equation presents a straightforward quadratic equation that can be solved using a few simple steps. Let's break down the solution process:

First, we need to expand the left side of the equation by multiplying the two factors:

(x - 9)(x + 9) = x² - 9² = x² - 81

Now the equation becomes:

x² - 81 = 19

To solve for x, we need to bring all terms to one side:

x² - 81 - 19 = 0

This simplifies to:

x² - 100 = 0

Now we have a simple quadratic equation. We can solve this by factoring:

(x - 10)(x + 10) = 0

Therefore, we have two possible solutions:

The solutions to the equation (x - 9)(x + 9) = 19 are x = 10 and x = -10.