Question

1. solve $-3\sqrt3{x+5}+15=6$.$x=18$$x=22$$x=20$$x=24$

Explanation:

Step1: Isolate the radical term

Subtract 15 from both sides:
$-3\sqrt[3]{x+5}=6-15$
$-3\sqrt[3]{x+5}=-9$

Step2: Solve for the cube root

Divide both sides by -3:
$\sqrt[3]{x+5}=\frac{-9}{-3}$
$\sqrt[3]{x+5}=3$

Step3: Eliminate the cube root

Cube both sides:
$(\sqrt[3]{x+5})^3=3^3$
$x+5=27$

Step4: Solve for x

Subtract 5 from both sides:
$x=27-5$
$x=22$

Answer:

$x=22$