SOLUTION: How do I solve the following: sqrt x-7 - sqrt x = -1 I am totally lost with this and will appreciate any help. Thanks

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I solve the following: sqrt x-7 - sqrt x = -1 I am totally lost with this and will appreciate any help. Thanks      Log On


   

Question 24466: How do I solve the following:
sqrt x-7 - sqrt x = -1
I am totally lost with this and will appreciate any help.
Thanks
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt (x-7) - sqrt x = -1
1- sqrt x = sqrt (x-7)
SQUARE BOTH SIDES
1+X-2(X)^0.5=X-7
1+7=X-X+2(X)^0.5=2(X)^0.5
8=2(X)^0.5
8/2=4=X^0.5
X=4*4=16