Question

TRAN
SE
Ecuación
Método
4x2 - 100 = 0 Factorización
4x2 - 7x - 15 = 0 Fórmula general
x2 + 6x + 8 = 0 Factorización
2x2 - 12x + 16 = 0 Fórmula general
Apr
e

Alguien que tenga las respuestas !?

Answer 1

$4 {x}^{2} - 100 = 0$

${(2x)}^{2} - {10}^{2} = 0$

$(2x + 10)(2x - 10) = 0$

$2x + 10 = 0$

$2x = - 10$

$x = - 5$

$2x - 10 = 0$

$2x = 10$

$x = 5$

$4 {x}^{2} - 7x - 15 = 0$

$x = \frac{ - ( - 7) + - \sqrt{ {( - 7)}^{2} - 4 \times (4) \times ( - 15)} }{2 \times 4}$

$x = \frac{7 + - \sqrt{49 +240 } }{8}$

$x = \frac{7 + - \sqrt{289} }{8}$

$x = \frac{7 + - 17}{8}$

$x1 = \frac{7 + 17}{8} = \frac{24}{8} = 3$

$x 2= \frac{7 - 17}{8} = - \frac{5}{4}$

${x}^{2} + 6x + 8 = 0$

$(x + 2)(x + 4) = 0$

$x + 2 = 0$

$x1 = - 2$

$x + 4 = 0$

$x2 = - 4$