SOLUTION: x−1/x+3+ 4/ x2 +25x+66=1/x+22

Algebra ->  Equations -> SOLUTION: x−1/x+3+ 4/ x2 +25x+66=1/x+22       Log On


   



Question 915328: x−1/x+3+ 4/ x2 +25x+66=1/x+22

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
assume You mean: Parenthesis FREE and necessary for Proper Communication
(x-1)/(x+3) + 4/(x^2 + 25x+66) = 1/(x+2)
%28x-1%29%2F%28x%2B3%29+%2B+4%2F%28x%5E2+%2B+25x%2B66%29+=+1%2F%28x%2B2%29 LCD = (x+2)(x+3)(x + 22)
|Multiplying thru by (x+2)(x+3)(x + 22) so as all denominators = 1
(x-1)(x+2)(x+22) + 4(x+2) = (x+3)(x + 22)
(x^2 +x - 2)(x+22) + 4x + 8 = x^2 + 25x + 66
x^3 +23x^2 +20x - 44 + 4x + 8 = x^2 + 25x + 66
Will let You finish Up