Question

$\frac{1}{2}x^{2}+15 = 24$

Explanation:

Step1: Subtract 15 from both sides

$\frac{1}{2}x^2 + 15 - 15 = 24 - 15$
$\frac{1}{2}x^2 = 9$

Step2: Multiply both sides by 2

$2\times\frac{1}{2}x^2 = 9\times2$
$x^2 = 18$

Step3: Take square root of both sides

$x = \pm\sqrt{18}$
Simplify $\sqrt{18}$ as $3\sqrt{2}$, so $x = \pm3\sqrt{2}$

Answer:

$x = 3\sqrt{2}$ or $x = -3\sqrt{2}$ (or approximately $x \approx 4.24$ or $x \approx -4.24$)