Solve the equation for x. if a solution is extraneous, be sure to identify it in your final answer. + 8 = x

(17+√553)/2

and

(17-√553)/2

Step-by-step explanation:

Subtract 8 from both sides. This leaves you with

sqrt(x-2) = x-8. Square both sides to get rid of the sqrt,

leaving x-2=(x-8)^2

expanding gives x-2=x^2-16x+64

subtract x from both sides leaves

-2=x^2-17x+64

add 2 to both sides

x^2-17x+66=0

this cannot be factored, however, there are other techniques.

Completing the square is a bit annoying, so I will use the quadratic formula, to give the answer.

This gives you:

(17+√553)/2

and

(17-√553)/2

Hope this helps!

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^