Question

resuelve el siguiente ejercicio de ecuación incompleta 4x²-3x-22=0
de la forma
b±√b²-4ac​

Answer 1

Respuesta:

x 1 = 11/4

x 2 = -2

Explicación paso a paso:

$4x^2-3x-22=0$

formula general

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{Para\:}\quad a=4,\:b=-3,\:c=-22 \\\\ x_{1,\:2}=\frac{-(-3)\pm \sqrt{(-3)^2-4\cdot \:4(-22)}}{2\cdot \:4} \\\\ x_{1,\:2}=\frac{-(-3)\pm \sqrt{(-3)^2+4\cdot \:4(22)}}{2\cdot \:4} \\\\ x_{1,\:2}=\frac{-(-3)\pm \sqrt{(-3)^2+352}}{2\cdot \:4} \\\\ x_{1,\:2}=\frac{-(-3)\pm \sqrt{9+352}}{2\cdot \:4} \\\\ x_{1,\:2}=\frac{-(-3)\pm \sqrt{361}}{2\cdot \:4} \\\\ x_{1,\: 2} = \frac{-(-3)\pm19 }{2\cdot \: 4}$

$x_1=\frac{-(-3)+19}{2\cdot 4} \quad \quad \quad x_2=\frac{-(-3)-19}{2\cdot 4}\\\\x_1=\frac{3+19}{2\cdot 4} \quad \quad \quad x_2=\frac{3-19}{2\cdot 4} \\\\x_1=\frac{22}{2\cdot 4} \quad \quad \quad x_2=\frac{-16}{2\cdot 4} \\\\x_1=\frac{22}{8} \quad \quad \quad x_2=\frac{-16}{8} \\\\ \boxed{x_1=\frac{11}{4}} \quad \quad \quad \boxed{x_2=-2}$