Question

4x^2+3x-22=0 completacion del cuadrado

Answer 1

4x^2+3x-22=0 

$\frac{4x^2}{4}+\frac{3}{4}x+\frac{-22}{4}=0$

$x^2+x\frac{3}{4}-\frac{11}{2}=0$

$x^2+x\frac{3}{4}-\frac{11}{2}+\frac{11}{2}=0+\frac{11}{2}$

$x^2+x\frac{3}{4}=\frac{11}{2}$

$x^2+x\frac{3}{4}+\left(\frac{\frac{3}{4}}{2}\right)^2=\frac{361}{64}$

$x=2,\:x=-\frac{11}{4}$