Question

the solution to $x^2 - 10x = 24$ is ✔ 12 or -2 ◇. complete the solution to $2x^2 - 11 = 87$ is ◇. done ✔

Explanation:

Step1: Isolate the quadratic term

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

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