Answer:
(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!
☁️ Answer ☁️
I think it's the second one.
Hope it helps.
Have a nice day hyung/noona!~  ̄▽ ̄❤️
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x