Question 167595
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.