先化简,再求代数式1-X 2分之3
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m是方程的根,则m满足方程:m^2-2012m+1=0m^2+1=2012mm^2-2011m+2012/(m^2+1)=m^2-2011m+2012/2012m=m^2-2012m+m+1/m=m^
应该是求-x³+2x²+2008x²=x+1所以x³=x²*x=(x+1)x=x²+x=(x+1)+x=2x+1所以-x³+2x&
(x-1)^2/(x^2-1)+x^2/(x+1)=(x-1)^2/(x+1)(x-1)+x^2/(x+1)=(x-1+x^2)/(x+1)因为已知x^2-2=0,则x^2=2代入得:原式=(x-1+
∵(x-x2)+(x2-y)=1,∴x-y=1.∵12(x2+y2)-xy=12(x2+y2-2xy+2xy)-xy=12(x2+y2-2xy)+xy-xy=12(x-y)2,把x-y=1代入上式,得
已知:(x²+1)/x=x²/x+1/x=x+1/x所以:x²+1/x²=x²+1/x²+2-2=(x+1/x)²-2
x=7(x²-x+1)7x²-7x+7=x7x²+7=8x两边平方49x4+98x²+49=64x²两边减去49x²49x4+49x&sup
已知x是一元二次方程x²+x-1=0的实数根,求代数式x³+x²+x的值由x²+x-1=0得x²+x=1;x=(-1±√5)/2;故x³+x
∵x2-9=0,∴x2=9,∴x2(x+1)-x(x2-1)-x-7=x3+x2-x3+x-x-7=x2-7,当x2=9时,原式=9-7=2.
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(1-x+2分之3)除以x+2分之1-x的平方=(x+2-3)/(x+2)÷(x-1)²/(x+2)=(x-1)/(x-1)²=1/(x-1)
X2+Y2+8X+6Y+25=0x²+8x+16+y²+6y+9=0(x+4)²+(y+3)²=0∴x+4=0y+3=0x=-4y=-3X2+4XY+4Y2分之
根据题意得x1+x2=-3x1x2=-1/2∴1/x1²+1/x2²=(x1²+x2²)/x1²x2²=[(x1+x2)²-2x1
x²-x-1=0x²=x+1x³=x×x²=x(x+1)=x²+x=(x+1)+x=2x+1原式=-(2x+1)+2(x+1)+2002=-2x-1+
原式=(x+1)(x-1)-x(2x-3)=x2-1-2x2+3x=-x2+3x-1;∵x2-3x-2=0,∴x2-3x=2.∴原式=-3.
x^3+2x^2-7=x(1-x)+2x^2-7=x+x^2-7=1-7=-6
x2(x+1)-x(x2-1)-7,=x3+x2-x3+x-7,=x2+x-7,∵x2+x-6=0,∴x2+x-7=-1,即x2(x+1)-x(x2-1)-7=-1.
X1+X2=3/2X1*X2=-5/2(1)1/X1+1/X2=(X1+X2)/X1*X2=-3/5(2)x1²+x2²=(X1+X2)²-2*X1*X2=29/4(3)
x²+1/x²=3两边平方x的四次方+2+1/x的四次方=9x的四次方+1/x的四次方=7
(x-2)^2-(x-1)^2+1=x^2-4x+4-x^2+2x-1+1=-2x+2=-2(x-2)所以:(x-2)分之[(x-2)^2-(x-1)^2+1]=-2