Question

X+4/2 + 2x+1/x+2 = 3x+2/6, qual o valor dessa expressão?

Answer 1

Resposta:

S = {-13/11}

Explicação passo-a-passo:

x ≠ -2

$\frac{x + 4}{2} + \frac{2x + 1}{x + 2} = \frac{3x + 2}{6} \\ \\ \frac{3(x + 2)(x + 4) + 6(2x + 1)}{6(x + 2)} = \frac{(x + 2)(3x + 2)}{6(x + 2)} \\ \\ 3( {x}^{2} + 4x + 2x + 8) + 12x + 6 = 3 {x}^{2} + 2x + 6x + 4 \\ 3( {x}^{2} + 6x + 8) + 12x + 6 = 3 {x}^{2} + 8x + 4 \\ 3 {x}^{2} + 18x + 24 + 12x + 6 = 3 {x}^{2} + 8x + 4 \\ 3 {x}^{2} - 3 {x}^{2} + 18x + 12x - 8x = 4 - 24 - 6 \\ 22x = - 26 \\ x = - \frac{26}{22} \\ x = - \frac{13}{11}$