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

What is the solution to the equation below?A.x = B.x = C.x = D.x =-example-1

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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)

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