Question

Please help solve this equation!!!???

Answer 1

the "-5" is not under the square root sign

Answer 2

\[\large \sqrt{x-2}-5=x-9\]


\[\large \sqrt{x-2}=x-9+5\]


\[\large \sqrt{x-2}=x-4\]


\[\large \left(\sqrt{x-2}\right)^2=(x-4)^2\]


\[\large x-2=(x-4)^2\]


\[\large x-2=x^2 - 8x + 16\]


\[\large 0=x^2 - 8x + 16-x+2\]


\[\large x^2 - 9x + 18 = 0\]


I'll let you finish. Don't forget to check any solution you get.