Question

(x + 5)2 + 2x + 1 = x2 + 27x + 26

Answer 1

Respuesta:

Saludos...

Explicación paso a paso:

$\left(x+5\right)\cdot \:2+2x+1=x^2+27x+26\\\\\\4x+11=x^2+27x+26\\\\\\x^2+27x+26=4x+11\\\\\\x^2+27x+26-11=4x+11-11\\\\\\x^2+27x+15=4x\\\\\\x^2+27x+15-4x=4x-4x\\\\\\x^2+23x+15=0\\\\\\x_{1,\:2}=\frac{-23\pm \sqrt{23^2-4\cdot \:1\cdot \:15}}{2\cdot \:1}\\\\\\x_{1,\:2}=\frac{-23\pm \sqrt{469}}{2\cdot \:1}\\\\\\x_1=\frac{-23+\sqrt{469}}{2\cdot \:1},\:x_2=\frac{-23-\sqrt{469}}{2\cdot \:1}\\\\\\Las\:soluciones\:a\:la\:ecuacion\:de\:segundo\:grado\:son:$

$x=\frac{-23+\sqrt{469}}{2},\:x=\frac{-23-\sqrt{469}}{2}$