Question

what is the solution to the equation?
\sqrt3{2x + 5} = 5

a. 240
b. 65
c. 60
d. 5

Explanation:

Step1: Cube both sides of the equation

To eliminate the cube root, we cube both sides of the equation \(\sqrt[3]{2x + 5}=5\). Cubing a cube root cancels them out, so we get \((\sqrt[3]{2x + 5})^3 = 5^3\), which simplifies to \(2x + 5 = 125\).

Step2: Solve for x

Subtract 5 from both sides of the equation \(2x + 5 = 125\). So, \(2x = 125 - 5\), which is \(2x = 120\). Then divide both sides by 2: \(x=\frac{120}{2}=60\).

Answer:

C. 60