![image](https://tex.z-dn.net/?f=%5C%5Cx_1%5E2%2Bx_2%5E2%3D%28x_1%2Bx_2%29%5E2-2x_1x_2%3D%28-%5Cfrac%7Bb%7D%7Ba%7D%29%5E2-2%5Cfrac%7Bc%7D%7Ba%7D%3D%5Cfrac%7Bb%5E2-ac%7D%7Ba%5E2%7D%0A%5C%5C%5CDelta%3D16%28m-4%29%5E2-4%2A2%28-m%2B7%29%3E0%0A%5C%5C16m%5E2-128m%2B256%2B8m-56%3E0%0A%5C%5C16m%5E2-120m%2B200%3E0%2F%3A8%0A%5C%5C2m%5E2-15m%2B25%3E0%0A%5C%5C2m%5E2-10m-5m%2B25%3E0%0A%5C%5C2m%28m-5%29-5%28m-5%29%3E0%0A%5C%5C%28m-5%29%282m-5%29%3E0%0A%5C%5Cm%5Cin%28-%5Cinfty%2C2%2C5%29%5Ccup%285%2C%2B%5Cinfty%29)
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">