Question

(x/x+1)+(x+1/x)=25/2(x not equal to 0,-1)​

Answer 1

Step-by-step explanation:

$( \frac{x}{x + 1} ) + ( \frac{x + 1}{x} ) = \frac{25}{2} \\ \frac{ {x}^{2} + (x + 1) {}^{2} }{ {x}^{2} + x } = \frac{25}{2} \\ 2({x}^{2} + {x}^{2} + 2x + 1) = 25 {x}^{2} + 25x \\ 4 {x}^{2} + 4x + 2 = 25 {x}^{2} + 25x \\ 21 {x}^{2} + 21x - 2 = 0$

Answer 2

Answer:

for 21x²+21x-2=0

x1 = -1.1

x2 = 0.1