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For what value of x will (3 + x)/(5 + x) and (1 - x)/(2 + x) be equal?

 Aug 13, 2021
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(3 + x)/(5 + x) = (1 - x)/(2 + x)     cross multiply to get

 

6 + 5x + x^2    =   5 -4x - x^2

2x^2 + 9x +1 = 0        Use Quadratic Formula to find x =  - 9/4 +- sqrt(73)/4

 Aug 13, 2021

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