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If \(\left(x+\dfrac{1}{x}\right):\left(x-\dfrac{1}{x}\right)=5:4\), then find the value of x. 

 Jul 28, 2020
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1.25 (x- 1/x)   = (x + 1/x)                                 in ratio 5:4     one side is 1.25 the other    1.25*4 = 5

x - 1/x          =   1.25x + 1.25/x

.25x = 2.25/x

.25x^2 = 2.25

.5x = 1.5

x = 3

 Jul 28, 2020

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