Question

Solve the given equation.


$\sqrt{6x-1}+1=5$

Answer 1

Answer:

x = $\frac{17}{6}$

Step-by-step explanation:

Given

$\sqrt{6x-1}$ + 1 = 5 ( subtract 1 from both sides )

$\sqrt{6x-1}$ = 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 = $\frac{17}{6}$

Answer 2

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