Question

Resuelve: (x+2)(x-4)=4(x-1) e indica la mayor raiz ecuacion de segundo grado

Answer 1

Respuesta:

$x_2 = 3+ \sqrt{13}$

Explicación paso a paso:

(x+2)(x-4)=4(x-1)

x²+2x-4x-8 = 4x-4

x²-2x-8 = 4x-4

x²-2x-4x-8+4 = 0

x²-6x-4 = 0

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

$x = \frac{ - ( - 6) \pm \sqrt{ {( - 6)}^{2} - 4(1)( - 4)} }{2(1)}$

$x = \frac{ 6\pm \sqrt{36 + 16} }{2}$

$x = \frac{ 6\pm \sqrt{4(9+ 4)} }{2}$

$x = \frac{ 6\pm 2 \sqrt{9+ 4} }{2}$

$x = \frac{ 2(3\pm \sqrt{13} )}{2}$

$x = 3\pm \sqrt{13}$

mayor raíz

$x_2 = 3+ \sqrt{13}$