0
\\16m^2-128m+256+8m-56>0
\\16m^2-120m+200>0/:8
\\2m^2-15m+25>0
\\2m^2-10m-5m+25>0
\\2m(m-5)-5(m-5)>0
\\(m-5)(2m-5)>0
\\m\in(-\infty,2,5)\cup(5,+\infty)" alt="\\x_1^2+x_2^2=(x_1+x_2)^2-2x_1x_2=(-\frac{b}{a})^2-2\frac{c}{a}=\frac{b^2-ac}{a^2}
\\\Delta=16(m-4)^2-4*2(-m+7)>0
\\16m^2-128m+256+8m-56>0
\\16m^2-120m+200>0/:8
\\2m^2-15m+25>0
\\2m^2-10m-5m+25>0
\\2m(m-5)-5(m-5)>0
\\(m-5)(2m-5)>0
\\m\in(-\infty,2,5)\cup(5,+\infty)" align="absmiddle" class="latex-formula">