I am stuck on this problem as I think there is no solution can you please tell me if I am right.
Solve for x:√x-6 - √x-6 = 36
and problem # 2
Solve for x √x-6√x-6 = 15
Please help me.
As written, these have no solutions (which the others have pointed out):
$\displaystyle \sqrt{x} - 6 - \sqrt x - 6 = 36\Rightarrow 0 = 36$
For the second, assuming you wrote it correctly,
$\displaystyle \sqrt{x} - 6\sqrt x - 6 = 15\Rightarrow -5\sqrt{x} - 6 = 15$
$\displaystyle \Rightarrow\sqrt x = -\frac{21}5$
which has no real solutions.
In the future, PLEASE use parenthesis!
Let me try to read the tea leaves. tricey36, please confirm which of these (if any) you meant.
First problem:
$\displaystyle \sqrt{x} - 6 - \sqrt{x - 6} = 36$
or
$\displaystyle \sqrt{x - 6} - \sqrt{x - 6} = 36$
(Though this one's just silly.)
or
$\displaystyle \sqrt{x - 6} - \sqrt{x} - 6 = 36$
Second problem:
$\displaystyle \sqrt{x - 6} \sqrt{x - 6} = 15$
or
$\displaystyle \sqrt{x} - 6\sqrt{x} - 6 = 15$
These are all I can (reasonably) think of.
-Dan