Question

2x+3/x+3=2x+5/x+1. VA ROG REPEDE DAU COROANA

Answer 1

$\frac{2x + 3}{x + 3} = \frac{2x + 5}{x + 1} = (2x + 3)(x + 1) = (2x + 5)(x + 3) \\ 2 {x}^{2} + 2x + 3x + 2 = 2 {x}^{2} + 6x + 3x + 9 \\ 2x + 3 = 6x + 9 \\ 2x - 6x = 9 - 3 \\ - 4x = 6 \\ = - \frac{3}{2}$

Answer 2

Explicație pas cu pas:

2x + 3 / x + 3 = 2x + 5 / x + 1 => produsul mezilor = cu produsul extremilor, adică -> ( 2x + 3 ) * ( x + 1 ) = ( 2x + 5 ) * ( x + 3 )

2x² + 2x + 3x + 3 = 2x² + 6x + 5x + 15

2x² + 5x + 3 = 2x² + 11x + 15

- 2x² + 2x² = - 5x + 11x = - 3 + 15

0 = 6x = 12 / : 6

x = 2