Question

question
solve the following quadratic equation for all values of $x$ in simplest form.
$12 - x^2 = -23$
answer attempt 1 out of 2
additional solution $circ$ no solution
$x = $
$pm$ $sqrt{}$

Explanation:

Step1: Isolate the $x^2$ term

Subtract 12 from both sides:
$$12 - x^2 - 12 = -23 - 12$$
$$-x^2 = -35$$

Step2: Solve for $x^2$

Multiply both sides by -1:
$$x^2 = 35$$

Step3: Solve for $x$

Take square root of both sides:
$$x = \pm \sqrt{35}$$

Answer:

$x = \pm 5$