Question

Помогите пожалуйста.

Answer 1

$\displaystyle\bf\\\frac{7m+9}{2m^{2} -4m} +\frac{3m+1}{m^{2} -4} =\frac{8m+3}{3m^{2} -6m} \\\\\\\frac{7m+9}{2m(m-2)} +\frac{3m+1}{(m-2)(m+2)}-\frac{8m+3}{3m(m-2)} =0\\\\\\\frac{(7m+9)\cdot 3\cdot(m+2)+(3m+1)\cdot 6m-(8m+3)\cdot 2\cdot(m+2)}{6m(m-2)(m+2)} =0\\\\\\\frac{21m^{2} +42m+27m+54 +18m^{2}+6m-16m^{2} -32m-6m-12 }{6m(m-2)(m+2)} =0\\\\\\\frac{23m^{2}+37m+42 }{6m(m-2)(m+2)} =0\\\\\\23m^{2} +37m+42=0 \ \ , \ \ m\neq 0 \ ; \ m\neq -2 \ ; \ m\neq 2$

$\displaystyle\bf\\D=37^{2}-4\cdot23\cdot42=1369-3864 =-2495<0$

Корней нет