Answer:
[tex]x=61[/tex]
Step-by-step explanation:
[tex]-3+\sqrt{2x-1} =8[/tex]
[tex]\sqrt{2x-1} -3=8[/tex]
Add 3 to both sides of the equation:
[tex]\sqrt{2x-1}-3+3=8+3[/tex]
[tex]\sqrt{2x-1}=11[/tex]
Solve the square root:
[tex]\sqrt{2x-1}=11[/tex]
[tex]2x-1=11^{2}[/tex]
[tex]2x-1=121[/tex]
[tex]2x-1+1=121+1[/tex] {add 1 to both sides}
[tex]2x=122[/tex]
[tex]x=122/2[/tex]
[tex]x=61[/tex]
hope this helps.......
