Question

sqrt(x+6) = sqrt(x – 10)-3

Answer 1

\(\sqrt{x+6} = \sqrt{x-7} -3\)

Answer 2

You need to start by squaring both sides of the equation.

\[(\sqrt{x+6})^2 = (\sqrt{x-7} - 3)^2\]

Answer 3

\[x+6 = (\sqrt{x-7} - 3)(\sqrt{x-7}-3)\]

Answer 4

Expand and then isolate the remaining square-root on one side of the equation. Square both sides again. Then, isolate x.

Answer 5

can you please do one more step

Answer 6

\[x+6 = (x-7) -3\times\sqrt{x-7} - 3\times\sqrt{x-7}+9\]
\[x+6 = x-7 - 6\times\sqrt{x-7} + 9\]

Answer 7

thank you

Answer 8

However....no solutions exist.

Answer 9

Did you type the problem correctly, or is that a possible answer (multiple choice)? Else, if this is hand-written homework, I would just write that there are no solutions.

Answer 10

does this one has a solution

Answer 11

sqrt(x+6) = sqrt(x – 10)-3

Answer 12

http://www.wolframalpha.com/input/?i=sqrt%28x%2B6%29+%3D+sqrt%28x+%E2%80%93+10%29-3+solve+for+x

Answer 13

thank once again

Answer 14

No problem. :)

Answer 15

Thanks. :)