Question

Resolver oa siguiente ecuacion de segundo grado aplicando la formula general 4x^2+3x-22=0

Answer 1

Respuesta:

$\mathrm{Para\:}\quad a=4,\:b=3,\:c=-22:\quad x_{1,\:2}=\frac{-3\pm \sqrt{3^2-4\cdot \:4\left(-22\right)}}{2\cdot \:4}$

$x=\frac{-3+\sqrt{3^2-4\cdot \:4\left(-22\right)}}{2\cdot \:4}\\\\x=\frac{-3+\sqrt{9-16\left(-22\right)}}{8}\\\\x=\frac{-3+\sqrt{361}}{8}\\\\x= \frac{-3+19}{8} \\\\x= \frac{16}{2} \\\\x1 = 2$

$x=\frac{-3-\sqrt{3^2-4\cdot \:4\left(-22\right)}}{2\cdot \:4}\\\\x=\frac{-3-\sqrt{9-16\left(-22\right)}}{8}\\\\x=\frac{-3-\sqrt{361}}{8}\\\\x= \frac{-3-19}{8} \\\\x= \frac{22}{8} \\\\x2 = -\frac{11}{4}$