Equations With Two Square Roots

Suppose we have an equation with two rots  
\[\sqrt{x+15}+ \sqrt{x}=15\]
.
We can rearrange this to give  
\[\sqrt{x+15}= \sqrt{x}+15\]
.
Now square both sides.
\[x+15= x+30 \sqrt{x} +225\]
.
Now  
\[x\]
  cancels from both sides, to give  
\[15= 30 \sqrt{x} +225 \rightarrow x = (\frac{15-225}{30})^2=49\]
.

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