Question

solve the following equation

x+2/x-1=1/1-1/x-3 ​

Answer 1

Step-by-step explanation:

Given y = 1 + 1/x + 1/x2 + 1/x3 +

This is an infinite GP with a = 1 and r = 1/x.

Sum = a/(1-r)

So y = 1/(1 – 1/x)

= x/(x-1)

dy/dx = [(x-1) – x]/(x-1)2

= -1/(x-1)2

= -y2/x2

Answer 2

Step-by-step explanation:

$x + 2/x - 1 = 1 - 1/x - 3$

$x + 2/x + 1/x = 1 + 1 - 3$

$({x}^{2} + 2 + 1 \: )/x = - 1$

${x}^{2} + 3 = - x$

${x}^{2} + x+ 3 = 0$