Question

solve the following quadratic equation.
8x² = 1152
enter multiple answers separated by a comma or enter none if there are no real solutions.
x =

Explanation:

Step1: Divide both sides by 8

To isolate \(x^2\), we divide each side of the equation \(8x^2 = 1152\) by 8.

$$ \frac{8x^2}{8}=\frac{1152}{8} $$

Simplifying both sides, we get \(x^2 = 144\).

Step2: Take square root of both sides

Taking the square root of both sides of the equation \(x^2 = 144\), we have:

$$ x=\pm\sqrt{144} $$

Since \(\sqrt{144} = 12\), the solutions are \(x = 12\) or \(x=- 12\).

Answer:

12, -12