Question

What is the solution to the equation below?A.x = B.x = C.x = D.x =

Answer 1

Explanation

We are given the following equation:

`√(5x-2)-1=3`

We are required to determine the value of x.

This is achieved thus:

`\begin{gathered} √(5x-2)-1=3 \\ \text{ Add 1 to both sides} \\ √(5x-2)-1+1=3+1 \\ √(5x-2)=4 \\ \text{ Square both sides } \\ (√(5x-2))^2=4^2 \\ 5x-2=16 \\ \text{ Collect like terms } \\ 5x=16+2 \\ 5x=18 \\ \text{ Divide both sides by 5} \\ (5x)/(5)=(18)/(5) \\ x=(18)/(5) \end{gathered}`

Hence, the answer is:

`x=(18)/(5)`