Question

$\frac{x}{3} + \frac{9}{x} = 4$

quadratic equation find ​

Answer 1

Given :-

$\frac{x}{3} + \frac{9}{x} = 4$

Solution :-

LCM of 3 and x = 3x

$\implies \: \frac{ {x}^{2} + 27 }{3x} = 4$

$\implies \: {x}^{2} + 27 = 4 \times 3x \\ \\ \implies {x}^{2} + 27 = 12x$

$\therefore {x}^{2} - 12x + 27 = 0$

Hence, The quadratic equation so formed is x²-12x+27 = 0

Answer 2

Therefore, The found quadratic equation is x²-12x+27.