(x-6)%3D13.jpeg "(x+6)(x-6)=13")
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.