Question

7+sqrt (x-7)=9 Please help me solve this

Answer 1

?
\[7+\sqrt{x-7}=9\]

Answer 2

Square everything

Answer 3

Isolate x.

Subtract 7 from both sides:
\[7-7+\sqrt{x-7}=9-7\]
\[\sqrt{x-7} = 2\]
Square both sides:
\[(\sqrt(x-7))^2=2^2\]
\[(x-7)=4\]
Add 7 to both sides:
\[x-7+7 = 4 + 7\]
Simplify:
\[x = 11\]

Answer 4

Yeah, like that.