Question

question
solve the following quadratic equation for all values of $x$ in simplest form.
$15 - 2x^2 = -7$
answer attempt 1 out of 2
additional solution no solution
$x = $
$pm$ $sqrt{}$

Explanation:

Step1: Isolate the $x^2$ term

$15 + 7 = 2x^2$

Step2: Simplify the left side

$22 = 2x^2$

Step3: Solve for $x^2$

$x^2 = \frac{22}{2} = 11$

Step4: Take square root of both sides

$x = \pm \sqrt{11}$

Answer:

$x = \pm \sqrt{11}$