Question

solve the quadratic equation​

Answer 1

Answer:

x=2,-3

explanation: [x²+(x+1)²]/x(x+1)=13/6

[x²+x²+2x+1]/x²+x=13/6

2x²+2x+1=13/6x²+13/6x

x²(2-13/6)+x(2-13/6)+1=0

-x²/6-x/6+1=0

x²+x-6=0

roots are x=[-1+-√1+24]/2

x=[-1+-5]/2

x=2,-3

Answer 2

Step-by-step explanation:

$\frac{x}{x +1 } + \frac{x + 1}{x} = \frac{13}{6} \\ \frac{x}{x + 1} - \frac{x}{x + 1} = \frac{13}{6} \\ \frac{x - x}{2x + 1} = \frac{13}{6 } \\ 6 |x - x| = 13 |2x + 1| \\ 6x - 6x = 26x + 13 \\ 0 = 26x + 13 \\ 26x = 13 \\ x = \frac{13}{26} \\ x = \frac{1}{2}$

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