Question

solve: $3(x + 6)^2 - 24 = 93$. give exact answers - no decimals. use a comma to separate your two answers or use ±.
$x =
$
simplify radicals as needed.
question help: video

Explanation:

Step1: Isolate the squared term

Add 24 to both sides.
$$3(x+6)^2 = 93 + 24$$
$$3(x+6)^2 = 117$$

Step2: Solve for $(x+6)^2$

Divide both sides by 3.
$$(x+6)^2 = \frac{117}{3}$$
$$(x+6)^2 = 39$$

Step3: Take square root of both sides

Use square root property for both roots.
$$x+6 = \pm\sqrt{39}$$

Step4: Solve for x

Subtract 6 from both sides.
$$x = -6 \pm\sqrt{39}$$

Answer:

$x = -6 + \sqrt{39}, -6 - \sqrt{39}$