Question

Помогите, пожалуйста: 5 - x / 4 = 3 / x
(Даю 45 баллов)

Answer 1

5 - $\frac{x}{4} = \frac{3}{x}$

5 - $\frac{x}{4} - \frac{3}{x}$ = 0

$\frac{20x-x^2-12}{4x} =0$

20x-$x^{2}$-12=0

Д = $b^{2} -4ac=$ $20^{2} - 4*(-1)*(12) = 352$

х1 = $\frac{-20+\sqrt{352} }{2*(-1)} = 10 +2\sqrt{22}$

x2 = $\frac{20-\sqrt{352} }{2*(-1)} = 10 -2 \sqrt{22}$