Question

solve the equation by the square root property.
3(x + 5)² = 60
the solution set is {}.
(type an exact answer, using radicals as needed. use a co

Explanation:

Step1: Isolate the squared term

Divide both sides by 3:
$\frac{3(x+5)^2}{3} = \frac{60}{3}$
Simplify to get:
$(x+5)^2 = 20$

Step2: Apply square root property

Take square roots of both sides, include $\pm$:
$x+5 = \pm\sqrt{20}$
Simplify $\sqrt{20}$ to $2\sqrt{5}$:
$x+5 = \pm2\sqrt{5}$

Step3: Solve for x

Subtract 5 from both sides:
$x = -5 \pm 2\sqrt{5}$

Answer:

$\{-5 + 2\sqrt{5}, -5 - 2\sqrt{5}\}$