Solve the equation.√(5x + 1) = 6

Question

Solve the equation.
`√(5x + 1) = 6`

Answer 1

Step 1

Square both sides

`(\sqrt[]{5x+1})^2=6^2`

Simplify;

`(\sqrt[]{5x+1})\text{ (}\sqrt[]{5x+1})=36`
`\begin{gathered} 5x+1=36 \\ 5x=36-1 \\ 5x=35 \\ (5x)/(5)=(35)/(5) \\ x=7 \end{gathered}`

Hence, the value of x=7