Question

Solve the equation below. Check for extraneous solutions.
sqrt(x+7) = x+5

Answer 1

\[\sqrt{x+7} = x + 5\]

Answer 2

square both sides first

Answer 3

\[(\sqrt{x+7})^{2} = (x+ 5)^{2}\]

Answer 4

distribute (x+5) ^2
\[x+ 7 = x^{2} + 10x + 25\]
\[x^{2} +9x +18 = 0\]
Now factor this expression. Find x.

Answer 5

Thank you!