(x+10)(x-10)=300

2 min read Jun 16, 2024

Solving the Equation (x+10)(x-10) = 300

This equation presents a quadratic equation in disguise, and we can solve it by following these steps:

First, we need to expand the left side of the equation using the difference of squares pattern: (x + 10)(x - 10) = x² - 10² = x² - 100

This gives us the simplified equation: x² - 100 = 300

Now, we move the constant term to the right side of the equation: x² = 300 + 100

This simplifies to: x² = 400

To isolate x, we take the square root of both sides: √x² = ±√400

This gives us two possible solutions: x = ±20

Therefore, the solutions to the equation (x+10)(x-10) = 300 are x = 20 and x = -20.

We can verify our solutions by plugging them back into the original equation:

Both solutions satisfy the original equation, confirming our results.