Question

x+3/x=x+2/x+1 cine stie va rog frumos

Answer 1

$\frac{x + 3}{x} = \frac{x + 2}{x + 1} \\ (x + 3)(x + 1) = x(x + 2) \\ {x}^{2} + x + 3x + 3 = {x}^{2} + 2x \\ {x}^{2} + 4x + 3 = {x}^{2} + 2x \\ {x}^{2} + 4x - {x}^{2} - 2x = - 3 \\ 2x = - 3 \\ x = - 3 \div 2 \\ x = - \frac{ 3}{2}$