Question 167595: 1 - 1 = 6
1+x 3 - x 35
Question reads: 1 over 1 + (plus) X - (minus) 1 over 3 - (minus) X = (EQUALS) 6 OVER 35 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Question reads: 1 over 1 + (plus) X - (minus) 1 over 3 - (minus) X = (EQUALS) 6 OVER 35
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1/(1+x) - 1/(3-x) = 6/35
lcm = 35(1+x)(3-x)
Multiply thru by the lcm to get:
35(3-x) - 35(1+x) = (1+x)(3-x)
105-35x -35 -35x = 3 +2x -x^2
x^2 -72x + 102 = 0
x = [72 +- sqrt(72^2-4*102)]/2
x = [72 +- 69.1086..]/2
x = 1.4456... x = 70.554...
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Cheers,
Stan H.
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