ok so i got this question and i know how to slove it and everything but im lost as of where the teacher got this one number.. so here it is
(x+5)/(x-2) = 5/(x+2) + 28/(x^2-4)
so from that i got ..
x^2+10 = 5x-10+28
but.. the teacher got
x^2 + 7x +10 = 5x-10+28
where did he get 7x from???
Note that due to the difference of two squares: . Also note that the best method is to get the same denominator for different terms, in this case it makes sense to use as it is the LCM of and
Multiply the first term by
Multiply the second term by
This should now give each term a denominator of which cancels to
For this to work
edit: see spoiler for detailed instructions
Spoiler:
Hi Candy101,
First, multiply through by the common denominator, which is (x - 2)(x + 2).
Expand and set everything equal to zero. This is where you went wrong. You multiplied the first two binomials incorrectly.
Factor.
because it would cause the denominator to be zero in the first fraction.