Question

Are the complex fractions (x^2 - x - 20/4) / (x-5/10) and (10/4) / (x-5/x^2 - x - 20) equivalent? Simplify each, and then explain why or why not

Answer 1

1, 2, 3, and to the 4. snoop doggy dogg and dr dre is at yo door.

Answer 2

@koreanhugg
If you'd do some manipulations, you'd find that the fractions are actually similar.

How to do simplification of a fraction:
\[a / (b / c) = a . (c / b)\]
*notice that the / is changed to a . and positions of b and c are reversed

Answer 3

is that the answer ?

Answer 4

Yep the fractions are similar if you'd do some manipulations you'll see

Answer 5

I tried but I still don't get it !

Answer 6

(x^2 - x - 20/4) / (x-5/10)
= (x^2 - x - 20 / 4) x (10 / x-5)

(10/4) / (x-5/x^2 - x - 20)
= (10/4) x (x^2 - x - 20 / x-5) ---- (1)

Rearranging (1):
= (x^2 - x - 20 / 4) x (10 / x-5)

Thus they are equal

Answer 7

wait so why are they equal again ?

Answer 8

@dauspex

Answer 9

Not sure if theres a reason for equality but its just because when you manipulate the expressions you get the same equation?