Answer:
x = [tex]\frac{17}{6}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{6x-1}[/tex] + 1 = 5 ( subtract 1 from both sides )
[tex]\sqrt{6x-1}[/tex] = 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 = [tex]\frac{17}{6}[/tex]