SOLUTION: Please help me solve this equation: sqrt(2x-1) +9 = 14 so far this is what i have done: sqrt(2x-1) +9-9 =14 -9

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me solve this equation: sqrt(2x-1) +9 = 14 so far this is what i have done: sqrt(2x-1) +9-9 =14 -9       Log On


   

Question 62500: Please help me solve this equation: sqrt(2x-1) +9 = 14
so far this is what i have done: sqrt(2x-1) +9-9 =14 -9

sqrt(2x-1)=14-9
sqrt(2x-1)= 5
I believe i'm on the right track but not sure the next step, Please help! I am preparing for the SAT's
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x-1%29%2B9=14
sqrt%282x-1%29%2B9-9=14-9
sqrt%282x-1%29=14-9
sqrt%282x-1%29=5
You're on the right track, now square both sides.
%28sqrt%282x-1%29%29%5E2=%285%29%5E2
2x-1=25
2x-1%2B1=25%2B1
2x=26
2x%2F2=26%2F2
x=13
:
Check for extraneous solutions, you always do that with even root equations.
sqrt%282%2813%29-1%29%2B9=14
sqrt%2826-1%29%2B9=14
sqrt%2825%29%2B9=14
5%2B9=14
14=14
highlight%28x=13%29 is valid.
Happy Calculating!!!
Good Luck on the SAT's!