Question

dau coroana ! in 5 minute ​
si la ,,a si b"sunt la fel doar ca inversate

Answer 1

$a) \: \frac{2}{x} = \frac{x + 1}{3} \\ \\ (x + 1)x = 2 \times 3 \\ x {}^{2} + x = 6 \\ x {}^{2} + x - 6 = 0 \\ x {}^{2} + 3x - 2x - 6 = 0 \\ x(x + 3) - 2(x + 3) = 0 \\ (x + 3)(x - 2) = 0 \\ x + 3 = 0\implies \: x _{1} = - 3 \\ x - 2 = 0\implies \: x_{2} = 2 \\ \\ \\ b) \: \frac{x}{2} = \frac{3}{x + 1} \\ \\ \text{aceasta \: este \: o \: proportie \: derivata} \\ \text{rapoartele \: sunt \: inversate} \\ \text{inseamna \: ca \: are\: aceleasi \: solutii} \\ \implies \: x_{1} = - 3 \\ \implies \: x _{2} = 2$