Question

1/x+x/2=11/6 transform to quadratic equation​

Answer 1

Answer:

3x²-11x+6=0

Step-by-step explanation:

$\frac{1}{x} + \frac{x}{2} = \frac{11}{6}$

Taking LCM

$\frac{2 + {x}^{2} }{2x} = \frac{11}{6} \\ \frac{2 + {x}^{2} }{x} = \frac{11}{3} \ \\ 6 + 3x {}^{2} = 11x \\ 3 {x}^{2} - 11x + 6 = 0$