Question

question
solve the following quadratic equation for all values of $x$ in simplest form.
$14 + 2x^2 = 24$
answer attempt 1 out of 2
⚪ additional solution ⚪ no solution
$x = $
± $\sqrt{}$

Explanation:

Step1: Isolate the $x^2$ term

Subtract 14 from both sides:
$2x^2 = 24 - 14$
$2x^2 = 10$

Step2: Solve for $x^2$

Divide both sides by 2:
$x^2 = \frac{10}{2}$
$x^2 = 5$

Step3: Solve for $x$

Take square root of both sides:
$x = \pm\sqrt{5}$

Answer:

$x = \sqrt{5}$ and $x = -\sqrt{5}$