X/2 + 1 = 12/x it is a quadratic equation please solve this and tell t

1.	X/2 + 1 = 12/x it is a quadratic equation please solve this and tell the answer
Answer» $\sf \frac{x}{2} + 1 = \frac{12}{x}$ $\sf \implies x( \frac{x}{2} + 1) = 12$ $\sf \implies\frac{ {x}^{2} }{2} + x = 12$ $\sf \implies\frac{ {x}^{2} + 2x }{2} = 12$ $\sf \implies{x}^{2} + 2x = 24$ $\sf \implies{x}^{2} + 2x - 24 = 0$ $\sf \implies{x}^{2} - 4x + 6x- 24 = 0$ $\sf \implies x(x - 4) + 6(x-4) = 0$ $\sf \implies (x + 6)(x-4) = 0$ By zero PRODUCT rule, $\sf x = - 6 \: or \: x = 4$ HENCE, the REQUIRED ANSWER is, x=-6,4.