y=(3x^2+3x+4)/(x^2+x+1)求最大值

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y=(3x^2+3x+4)/(x^2+x+1)求最大值
y=(3x^2+3x+4)/(x^2+x+1)求最大值

y=(3x^2+3x+4)/(x^2+x+1)求最大值
y=(3x^2+3x+4)/(x^2+x+1),
y(x^2+x+1)=3x^2+3x+4,
(y-3)x^2+(y-3)x+(y-4)=0 ,
判别式=(y-3)^2-4(y-3)(y-4)>=0 ,
所以 (y-3)(y-3-4y+16)>=0 ,
即 (y-3)(3y-13)

(x-y) (x-2y)+(x+2y) (x-3y)-2(x-3y) (x-4y)= 3^x+2x=y,x 求值域 1,y=(x+2)/(x*x+3x+6) 2,y=3x/(x*x+4) 若2x-3y+4=0则x（x*x-1)+x(5-x*x)-6y+7 [2/3x-2/x+y(x+y/3x-x-y)]/x-y/x 化简：{2/3x-2/(x+y)[(x+y)/3x-x-y]}/(x+y)/x 计算2/3x-2/x+y(x+y/3x-x-y)/x-y/x 化简3x-2/(x+y)[(x+y)/3x-x-y]÷(x-y)/x x(x-y)2-(y-x)3 2（x+y)-3(x-y)=3 ,4(x+y)+3(x-y)=15 x+y/2+x-y/3=6,4(x+y)-3(x-y)=-20 {(x+y)/2+(x-y)/3=6 4(x+y)-3(x-y)=-20 4(x+y)-3(x-y)=-20,2/x+y+3/x-y=6 3(x+y)-2(x-y)=11 4(x+y)+3(x-y)=9 3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 （x+y）/2- x-y/2=6 3(x+y)=4(x-y) x+y/3+x-y/2=6 4(x+y)-2(x-y)=40 {3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1