Question

$x+\frac{1}{x} =\frac{5}{2}$

Answer 1

Hey mate,

We have to find x not to prove the equation,

So,

Taking the LCM,

x^2+1/x = 5/2

2x^2 - 5x + 2 = 0

Solving the quadratic equation by splitting the middle term,

2x^2 - 4x - x + 2 = 0

2x(x - 2) - 1(x-2) = 0

(2x-1)(x-2) = 0

x = 1/2,2

Hope this helps you out!