Question

Solve the given equation.



`√(6x-1)+1=5`

Answer 1

radical 6x-1 = 5-1
radical 6x-1=4
square both sides to get rid of radical
6x-1=16
6x= 16+1
6x=17
divide by 6, x=17/6

Answer 2

x =
`(17)/(6)`

Explanation:

Given

`√(6x-1)` + 1 = 5 ( subtract 1 from both sides )

`√(6x-1)` = 4 ( to clear the radical, square both sides )

6x - 1 = 4²

6x - 1 = 16 ( add 1 to both sides )

6x = 17 ( divide both sides by 6 )

x =
`(17)/(6)`