Question

Resolva a equação 2×/ × + 3 - 2 = 5/×, para X Real?

Answer 1

$\frac{2x}{x+3} - 2 = \frac{5}{x} \\ \frac{2x}{x+3} - \frac{2(x+3)}{x+3} = \frac{5}{x} \\ 2x - 2x + 6 = \frac{5(x+3)}{x} \\ 6 = \frac{5x + 15}{x} \\ 6x = 5x + 15 \\ 6x - 5x = 15 \\ x = 15$

S = { 15 } ou S = { x ∈ R / x = 15 }