Question

Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.

Answer 1

The Solution:

Given:

Required:

Find the values of t.

`√(3t+5)=8`

Square both sides.

`(√(3t+5))^2=8^2`
`3t+5=64`
`\begin{gathered} 3t=64-5 \\ \\ 3t=59 \end{gathered}`

Divide both sides by 3.

`t=(59)/(3)`

Answer:

`t=(59)/(3)`