Question

solve this equation
x/x-1 + x-1/x =5/2​

Answer 1

Step-by-step explanation:

Given equation

→ \frac{x^{2} + x^{2} - 2x + 1}{x^{2} - x}

x

2

−x

x

2

+x

2

−2x+1

= \frac{5}{2}

2

5

→ 2(2x^{2} - 2x + 1) = 5(x^{2} - x)2(2x

2

−2x+1)=5(x

2

−x)

→ \begin{gathered}x(x-2)+1(x-2) = 0\\x = 2 / x = -1\end{gathered}

x(x−2)+1(x−2)=0

x=2/x=−1