Question

Luego de resolver 2x^2-7x-1=0 Señale la mayor raiz

Answer 1

Respuesta:

$2x^2-7x-1=0$

$x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\cdot \:2\left(-1\right)}}{2\cdot \:2}$

$x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{57}}{2\cdot \:2}$

$x_1=\frac{-\left(-7\right)+\sqrt{57}}{2\cdot \:2},\:x_2=\frac{-\left(-7\right)-\sqrt{57}}{2\cdot \:2}$

$x=\frac{7+\sqrt{57}}{4},\:x=\frac{7-\sqrt{57}}{4}$

RAIZ MAYOR

$\frac{7-\sqrt{57}}{4}<\frac{7+\sqrt{57}}{4}$

LA RAIZ MAYOR ES:

$\frac{7+\sqrt{57}}{4}$