Question

sqrt(2x+51)-8=x

Answer 1

add 8 to both sides then square both sides

\[\sqrt{2x + 51} = x + 8\]

now squaring gives
\[(\sqrt{2x + 51})^2 = (x + 8)^2\]

then

\[2x + 51 = x^2 = 16x + 64\]

collect like terms and solve for x.

Answer 2

thank you!

Answer 3

oops should be

\[2x +51 = x^2 + 16x + 64\]