## 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 \[15= 30 \sqrt{x} +225 \rightarrow x = (\frac{15-225}{30})^2=49\]

.