SOLUTION: What is: {{{ sqrt(x-6) - sqrt(x) = 3 }}} I have tried: {{{ sqrt(x-6) = 3 + sqrt(x) }}} FOIL: {{{ 3+sqrt(x) * 3 +sqrt(x) }}} = {{{ 9 + 6sqrt(x) + x }}} plug in: {{{ x

Algebra ->  Radicals -> SOLUTION: What is: {{{ sqrt(x-6) - sqrt(x) = 3 }}} I have tried: {{{ sqrt(x-6) = 3 + sqrt(x) }}} FOIL: {{{ 3+sqrt(x) * 3 +sqrt(x) }}} = {{{ 9 + 6sqrt(x) + x }}} plug in: {{{ x      Log On


   

Question 699653: What is:

+sqrt%28x-6%29+-+sqrt%28x%29+=+3+
I have tried:
+sqrt%28x-6%29+=+3+%2B+sqrt%28x%29+
FOIL:
+3%2Bsqrt%28x%29+%2A+3+%2Bsqrt%28x%29+ = +9+%2B+6sqrt%28x%29+%2B+x+
plug in:
+x+-+6+=+9+%2B+6sqrt%28x%29+%2B+x+
+-15+=+6sqrt%28x%29+
divide:
??
What am I doing wrong?



Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28x-6%29+-+sqrt%28x%29+=+3+
I don't think there is a solutions here, but plunging ahead anyway.
:
+sqrt%28x-6%29+=+3+%2B+sqrt%28x%29+
square both sides, you only FOIL the right,
squaring the left gives you x - 6
x - 6 = 9+%2B+6sqrt%28x%29+%2B+x
combine like terms on the left
x - x - 6 - 9 = 6sqrt%28x%29
-15 = 6sqrt%28x%29
square both sides again
225 = 36x
x = 225/36
x = 6.25, however if you substitute this in the original problem it does not work
the problem has no solution