已知式子(x-3)(y 2)
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∵3x+5y2+3=6,即3x+5y2=3,∴原式=6x+10y2-7=2(3x+5y2)-7=6-7=-1.
原式=[2(2x+y)]2-3x2-y2+2-2y2=4(2x+y)2-3(x2+y2)+2∵2x+y=7,x2+y2=5∴原式=183.
∵x2-4x+y2+6y+z−3+13=0,∴(x-2)2+(y+3)2+z−3=0,∴x-2=0,y+3=0,z-3=0,解得x=2,y=-3,z=3,∴(xy)z=[2×(-3)]3=-216.
y1>y2-x+3>3x-4-x-3x>-4-3-4x>-7x所以当xy2
x2-x=3,y2-y=3x,y是方程a^2-a-3=0的两根x+y=1x*y=-3x2+xy+y2=(x+y)^2-xy=1+3=4
由已知y1,y2,y3到x1,x2,x3的变换矩阵为221315323此矩阵的逆为-7-4963-732-4所以,x1,x2,x3到y1,y2,y3的变换为y1=-7x1-4x2+9x3y2=6x1+
已知2x=3y,求xy/(x^2+y^2)-y^2/(x^2-y^2)的值2x=3y-->x=(3/2)yx^2=(9/4)y^2xy/(x^2+y^2)-y^2/(x^2-y^2)==(3/2)y*
y1=y2-2/3x+1=x2/3x+x=15/3x=1x=3/5y1=y2-5-2/3x+1=x-52/3x+x=1+55/3x=6x=18/5
y1>y2-x+3>3x-44x
即(x²+4x+4)+(y²-6y+9)=0(x+2)²+(y-3)²=0所以x+2=y-3=0x=-2,y=3所以原式=(4+4)/(4+27)=8/31
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答:x的2次方-(3xy+4y的2次方)-(11xy-5y2的次方)-3x的2次方=x²++y²-14xy=7-14*(-1)=7+14=21
x²-2xy+y²/x²-y²=(x-y)²/(x-y)(x+y)=(x-y)/(x+y)因为x=3,y=-5,所以(3-(-5))/(3+(-5))
y1=-x+3,y2=3x-5因为y1>y2所以-x+3>3x-54x
由题意可得,y2=3x−3x22由y2≥0可得3x−3x22≥0解可得,0≤x≤2设t=x2+y2=x2+3x−3x22=−12x2+3x=−12(x2−6x)=−12(x−3)2+92∵0≤x≤2又
1.y1=y2:-x+2=3x+4=>4x=-2=>x=-1/2y1-1/2y1>y2:-x+2>3x+4=>xx=1y=1带入y=ax+7=>a=-6
x-2=3(2x-3)x-2=6x-96x-x=-2+95x=7x=1.4
3x2+2y2-6x=0x2+y2=1/2(6x-x2)=9/2-1/2(x2-6x+9)=9/2-2-1/2(x-3)2当x=3时,Z最大=4.5
由x2+xy+y2=3得,x^2+y^2=3-xyx^2+y^2≥2xy得,xy≤1所以x^2-xy+y^2=3-2xy≥1等号成立当且仅当x=y=±1
(1)设6+3x=2xx=-6所以当x=-6时,两个式子相等(2)设6+3x>2x+5x>-1当X>1时,式子6+3x比式子2x的值大5如果最后是要同乘负数的话就要大小于号变号,现在移项的话只是两边同