2007-01-21 12:23:26 · 3 answers · asked by Phillip V 1 in Science & Mathematics ➔ Mathematics
x / (x-2) + 1 / (x+1) = 2 / (x-2)
* multiply with LCD which is (x-2)(x+1)
[ x / (x-2) + 1 / (x+1) = 2 / (x-2)]
x (x+1) + (x-2) = 2 (x+1)
x^2 + x + x - 2 = 2x +2
x^2 + 2x - 2x = 2 + 2
x^2 = 4
x = +/-2
ANSWER = 2 and -2
2007-01-21 12:34:45 · answer #1 · answered by swas77 2 · 0⤊ 0⤋
Start by multiplying both sides by (x-2)(x+1) to clear the denominators. This will give
x(x+1) + (x-2) = 2(x+1)
expand this equation
x^2 + x + x - 2 = 2x + 2
and then move it around to get a 2nd order polynomial to factor and solve
x^2 - 4 = 0
I will let you take it from there.
2007-01-21 20:33:01 · answer #2 · answered by rscanner 6 · 0⤊ 0⤋
(1/x+1)=(2-x/x-2)
(1/x+1)=-(x-2/x-2)=-1
-1/x+1=1
1=x+1
x=0
2007-01-21 20:31:32 · answer #3 · answered by VanessaM 3 · 0⤊ 1⤋