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-3х2+17х+6<0

-3x²+17x+6 <03x²-17x-6 <0D=(-17)²-4*3*(-6)=289+72=361=19²x1=(17+19)/2*3=36/6=6x2=(17-19)/2*3=-2/6=-1/33(x-6)(x+1/3)<0                +                               -                                  +______________-1/3__________________6______________x∈(-1/3; 6)