[tex] \frac{1}{2 x^{2} -3x-9}+ \frac{3}{ x^{2} -x-6}= \frac{x}{2 x^{2} +7x+6} [/tex]

2x²-3x-9=0D=9+72=81x1=(3-9)/4=-1,5x2=(3+9)/4=3x²-x-6=0x1+x2=1 U x1*x2=-6x1=-2 U x2=32x²+7x+6=0D=49-48=1x1=(-7-1)/4=-2x2=(-7+1)/4=-1,51/(2x+3)(x-3) +3/(x+2)(x-3)=x/(2x+3)(x+2)ОЗ (2x+3)(x-3)(x+2)≠0⇒x≠-1,5;x≠3;x≠-2x+2+3(2x+3)=x(x-3)x²-3x-x-2-6x-9=0x²-10x-11=0x1+x2=10 U x1*x2=-11x1=-1 U x2=11