Question

solve x/3+3/x=17/4 by factorisation method​

Answer 1

Answer:

6-3√3

6+3√3

Step-by-step explanation:

hope you understand

Answer 2

$\frac{x}{3} + \frac{3}{x} = \frac{17}{4} \\ \\ = > \frac{x {}^{2} + 9 }{3x} = \frac{17}{4} \\ \\ = > 4(x {}^{2} + 9) = 17 \times 3x \\ \\ = > 4x {}^{2} + 36 = 51x \\ \\ = > 4x {}^{2} - 51x + 36 = 0 \\ \\ = > 4x {}^{2} - 48x - 3x + 36 = 0 \\ \\ = > 4x(x - 12) - 3(x - 12) = 0 \\ \\ = > (x - 12)(4x - 3) = 0 \\ \\ = > x - 12 = 0 \: ...........(i) \\ \\ 4x - 3 = 0 \: .............(ii) \\ \\ = > x = 12 \: \: and \: \: \frac{3}{4}$

I hope this helps.