Question

x/3 + 3/x = 15/ x, x not equal to 0​

Answer 1

Answer:

x = ±6

$\frac{x}{3} + \frac{3}{x} = \frac{15}{x} \\ \frac{ {x}^{2} + 9}{3x} = \frac{15}{x} \\ {x}^{2} + 9 = 15 \times 3 \\ {x}^{2} = 45 - 9 \\ {x}^{2} = 36 \\ x ^{2} - 36 = 0 \\ (x - 6) \times (x + 6) = 0 \\ x = 6 \: or \: x = - 6$