Square of Difference: Data with powers and roots

$\frac{\sqrt{2x^2-4xy+2y^2+(x-y)^2}}{x-y}=$

$\sqrt{3}$

How much is the expression worth? $(x-\sqrt{x})^2$

$x\lbrack x-2\sqrt{x}+1\rbrack$

$x-\sqrt{x}=\sqrt{x}$

What are the possible values of X?

0, 4

Solve the following equation:

$\sqrt{x-1}\times\sqrt{x-2}=x-3$

$x=\frac{7}{3}$

Solve the following system of equations:

$\begin{cases} \sqrt{x}-\sqrt{y}=\sqrt{\sqrt{61}-6} \\ xy=9 \end{cases}$

$x=\frac{\sqrt{61}}{2}-2.5$

$y=\frac{\sqrt{61}}{2}+2.5$

or

$x=\frac{\sqrt{61}}{2}+2.5$

$y=\frac{\sqrt{61}}{2}-2.5$