![image](https://tex.z-dn.net/?f=x%5E2-5%7Cx%7C%2B4%3D0+%5C%5C+%5C%5C+%281%29+x%3E0+%5C%5C+x%5E2-5x%2B4%3D0+%5C%5C+D%3D25-16%3D9+%5C%5C+x_1%3D%5Cfrac%7B5-3%7D%7B2%7D%3D1+%5C%5C+x_2%3D%5Cfrac%7B5%2B3%7D%7B2%7D%3D4+%5C%5C+%5C%5C+%282%29+x%3C0+%5C%5C+x%5E2%2B5x%2B4%3D0+%5C%5C+D%3D9+%5C%5C+x_1%3D%5Cfrac%7B-5-3%7D%7B2%7D%3D-4+%5C%5C+x_2%3D%5Cfrac%7B-5%2B3%7D%7B2%7D%3D-1+%5C%5C+%5C%5C+1%2A4%2A%28-1%29%2A%28-4%29%3D16)
0 \\ x^2-5x+4=0 \\ D=25-16=9 \\ x_1=\frac{5-3}{2}=1 \\ x_2=\frac{5+3}{2}=4 \\ \\ (2) x<0 \\ x^2+5x+4=0 \\ D=9 \\ x_1=\frac{-5-3}{2}=-4 \\ x_2=\frac{-5+3}{2}=-1 \\ \\ 1*4*(-1)*(-4)=16" alt="x^2-5|x|+4=0 \\ \\ (1) x>0 \\ x^2-5x+4=0 \\ D=25-16=9 \\ x_1=\frac{5-3}{2}=1 \\ x_2=\frac{5+3}{2}=4 \\ \\ (2) x<0 \\ x^2+5x+4=0 \\ D=9 \\ x_1=\frac{-5-3}{2}=-4 \\ x_2=\frac{-5+3}{2}=-1 \\ \\ 1*4*(-1)*(-4)=16" align="absmiddle" class="latex-formula">
Ответ: 16