(x+6)(x-6)=13

Jasonbradley

less than a minute read

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Jun 17, 2024

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Solving the Equation (x+6)(x-6) = 13

This equation represents a quadratic equation in disguise. Let's solve it step-by-step.

1. Expanding the Equation

First, we need to expand the left side of the equation using the difference of squares pattern: (a + b)(a - b) = a² - b²

Applying this to our equation, we get: x² - 6² = 13

2. Simplifying the Equation

Simplifying further: x² - 36 = 13

3. Rearranging the Equation

To solve for x, we need to rearrange the equation into standard quadratic form: x² - 36 - 13 = 0 x² - 49 = 0

4. Solving for x

Now, we can solve for x using the square root property. x² = 49 x = ±√49 x = ±7

Therefore, the solutions to the equation (x+6)(x-6) = 13 are:

x = 7 and x = -7.