Question

Solve. x=sqr rt x+13+7

Answer 1

is it \[x=\sqrt{x+13}+7\]?

Answer 2

yes

Answer 3

if so then \[x-7=\sqrt{x+13}\] square both sides

Answer 4

\[x^2-14x+49=x+13\]
\[x^2-15x+36=0\]

Answer 5

factor
\[(x-13)(x-2)=0\]
\[x=13\]
\[x=2\]

Answer 6

now you have to check because step two was squaring.

Answer 7

oops i factored wrong!

Answer 8

oh

Answer 9

\[(x-12)(x-3)=0\]
\[x=12\]
\[x=3\]

Answer 10

now check and you will see that 12 works and 3 does not

Answer 11

ok. thats what i got. thanks for confirming. medal

Answer 12

so answer is 12

Answer 13

welcome