Question

7×(×-2)=3×(×+2) resultado??​

Answer 1

Respuesta:

Ecuación

$7x(x-2)=3x(x+2) \\ 7 {x}^{2} - 14x = 3 {x}^{2} + 6x \\ \boxed{7 {x}^{2}} - 14x - \boxed{3 {x}^{2}} - 6x = 0 \\ 4 {x}^{2} - \boxed{14x} - \boxed{6x} = 0 \\ 4 {x}^{2} - 20x = 0$

Factor común: 4

$4 {x}^{2} - 20x = 0 \\ 4( {x}^{2} - 5x) = 0$

${x}^{2} - 5x = 0$

Fórmula cuadrática

$\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac}}{2a}}$

${x}^{2} - 5x = 0$

a = 1

b = -5

c = 0

$x = \frac{ - ( - 5)± \sqrt{( - 5)^{2} - 4 \times 1 \times 0 } }{2 \times 1}$

$x = \frac{ - ( - 5)± \sqrt{{( - 5)}^{2} - 0} }{2}$

$x = \frac{ - ( - 5)± \sqrt{25} }{2}$

$x = \frac{ - ( - 5)±5}{2}$

$x = \frac{5±5}{2}$

$x = \frac{5 + 5}{2} = \frac{10}{2} = \boxed{5} \\ x = \frac{5 - 5}{2} = \frac{0}{2} = \boxed{0}$

Solución

$\boxed{x = 5}$

$\boxed{x = 0}$

Espero te sirva :)