Question

1/2(x/4+4)-2x-5/4+5=0

Answer 1

Resposta:

S = {46/15}

Explicação passo-a-passo:

$\frac{1}{2} ( \frac{x}{4} + 4) - 2x - \frac{5}{4} + 5 = 0 \\ \frac{1}{2} ( \frac{x + 16}{4} ) - 2x - \frac{5}{4} + 5 = 0 \\ \frac{x + 16}{8} - 2x = \frac{5}{4} - 5 \\ \frac{x + 16 - 16x}{8} = \frac{5 - 20}{4} \\ \frac{16 - 15x}{8} = - \frac{15}{4} \\ 4(16 - 15x) = 8.( - 15) \\ 16 - 15x = - 30 \\ - 15x = - 30 - 16 \\ - 15x = - 46 \\ 15x = 46 \\ x = \frac{46}{15}$