Answer:
x = 3/4
Step-by-step explanation:
The lowest common denominator is 4(x + 2) so we multiply each side by this:
3 = 4x
x = 3/4.
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: 80
Step-by-step explanation:
Prime factors of 10 = 2 x 5
Prime factors of 16 = 2 x 2 x 2 x 2
Times all the prime factors together = 2^5 x 5
= 80