Question

determining solutions to quadratic equations
the solution to (x^2 - 10x = 24) is (\boldsymbol{checkmark}) 12 or (-2)
complete
the solution to (2x^2 - 11 = 87) is
done
7 or (-7)
(2 + 2i) or (2 - 2i)
12 or (-2)

Explanation:

Step1: Isolate the quadratic term

Add 11 to both sides:
$2x^2 = 87 + 11$
$2x^2 = 98$

Step2: Solve for $x^2$

Divide both sides by 2:
$x^2 = \frac{98}{2}$
$x^2 = 49$

Step3: Find square roots of 49

Take square root of both sides:
$x = \pm\sqrt{49}$
$x = \pm7$

Answer:

7 or -7