Question

Calcule dois numeros reais que tem soma igual a 1/4 o produto igual a (-1/8)

Answer 1

${x}^{2} - \frac{1}{4}x - \frac{1}{8} = 0 \\ \\ mmc (1.4.8) = 8 \\ \\ \frac{ {8x}^{2} }{8} - \frac{2}{8}x - \frac{1}{8} = 0 \\ \\ 8 {x}^{2} - 2x - 1 = 0 \\ \\ equacao \: de \: 2 \: grau \\ \\ delta = ( { - 2)}^{2} - 4 \times 8 \times ( - 1) \\ = 4 + 32 \\ = 36 \\ \\ x = \frac{ - ( - 2) + - \sqrt{36} }{16} \\ \\ x = \frac{2 + - 6}{16} \\ \\ x = \frac{2 + 6}{16} \\ \\ x = \frac{8}{16} = \frac{1}{2} \\ \\ x = \frac{2 - 6}{ 16} = - \frac{1}{4}$