SOLUTION: 1 - 1 _______ _______ = _6__ 1 + X - 3 - X = 35

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1 - 1 _______ _______ = _6__ 1 + X - 3 - X = 35      Log On


   

Question 167553: 1 - 1
_______ _______ = _6__
1 + X - 3 - X = 35
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
+%281%2F%281%2Bx%29%29+-+%281%2F%283-x%29%29+=+6%2F35+
Multiply both sides by a common denominator of 35(1+x)(3-x):
+%2835%283-x%29%29+-+%2835%281%2Bx%29%29+=+6%281%2Bx%29%283-x%29+
Expanding:
+%28105-35x%29+-+%2835%2B35x%29%29+=+6%283-x%2B3x-x%5E2%29+
+105-35x-35-35x+=+6%283%2B2x-x%5E2%29+
+70-70x+=+18%2B12x-6x%5E2+
+6x%5E2%2B70-70x+=+18%2B12x+
+6x%5E2-82x%2B70+=+18+
+6x%5E2-82x%2B52+=+0+
+3x%5E2-41x%2B26+=+0+
+%283x-2%29%28x-13%29+=+0+
.
Two possible solutions:
3x-2=0
3x = 2
x = 2/3
.
x-13 = 0
x = 13
.
x = {2/3, 13}