3x+1/x+1 + x+1/3x+1 =5/2 – InterviewSolution

1.

3x+1/x+1 + x+1/3x+1 =5/2

Answer»

Let 3x+1/x+1 = yy + 1/y = 5/2y^2 + 1 = 5y/22y^2 + 2 = 5y2y^2 - 5y + 2 = 02y^2 - 4y - y + 2 = 02y(y - 2) - 1(y - 2) = 0(2y-1)(y - 2) = 0y = 1/2, 2

For y = 1/23x+1/x+1 = 1/26x + 2 = x + 15x = 1 - 2x = - 1/5

For y = 23x+1/x+1 = 23x + 1 = 2x + 23x - 2x = 2 - 1x = 1

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