2X1² X2²-4X1X2-4X2X3
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x²-4x+2=0由韦达定理得:x1+x2=4,x1·x2=2∴(1)x1+x2+3x1x2=4+3*2=10(2)x2/x1+x1/x2=(x2²+x1²)/x1x2=
由用韦达定理,得x1+x2=1,x1*x2=(m+1)/2,所以x1^2+x2^2=(x1+x2)^2-2x1*x2=1-(m+1)=-m所以原不等式成为:7+4*(m+1)/2>-m整理:7+2m+
x1+x2=-3/2x1*x2=-4/2=-2x1^5·x2^2+x1^2·x2^5=x1²x2²(x1³+x2³)=(x1x2)²(x1+x2)(x
x1+x2=-3/2x1x2=-4/2=-2x1^5*x2^2+x1^2*x2^5=(x1x2)^2*[x1^3+x2^3]=(x1x2)^2*(x1+x2)*[x1^2-x1x2+x2^2]=(x1
根据韦达定理有X1+X2=-b/a=-2/3,X1*X2=c/a=-3/3=-1①x2/x1+x1/x2=(x2²+x1²)/(x1x2)=【(x1+x2)²-2x1x2
已知X1,X2是方程-3X²-4X+2=0的两根,求x1+x2=?x1x2=?此方程系数a=-3,b=-4,c=2由韦达定理可知x1+x2=-b/a=-4/3x1x2=c/a=-2/3
因为x1x2=c/a,x1+x2=-b/a(其中,a=1,b=-a,c=a^2-a+(1/4)),则,x1x2/(x1+x2)=a-1+(1/4a)∵Δ=a²-4(a²-a+1/4
因为x1,x2是关于x方程x^2-ax+a^2-a+(1/4)=0的两个实根,所以(1)△≥0,即a^2-4a^2+4a-1≥0,从而1≥a≥1/3(2)(x1x2)/(x1+x2)=a+1/4a-1
f=@(x)((6+x(1)+x(2))^2+(2-3*x(1)-3*x(2)-x(1)*x(2))^2);x0=[-4;6];x=fminsearch(f,x0)再问:那这题呢?答出来我再追加5分给
A=1-22-2-24240嗯,特征值好麻烦-6074/97723143/977估计题目有误.
这是韦达定理x1+x2=-3/4x1x2=-2x1+x2=把根求出来才能得出记得采纳啊
解:二次型的矩阵A=1-24-242421|A-λE|=1-λ-24-24-λ2421-λ=-(λ+4)(λ-5)^2A的特征值为λ1=-4,λ2=λ3=5.对λ1=-4,(A+4E)X=0的基础解系
因为x1、x2是方程2X^2-2x+3m-1=0的根所以x1+x2=-(-2/2)=1x1*x2=(3m-1)/2又x1*x2/(x1+x2-4)
2x平方-4x+1=02x²-4x+1=0x²-2x+1=1/2(x-1)²=1/2x=1+√2/2x=1-√2/2x1+x2=(1+√2/2+1-√2/2)=2x1x2
f=(x1-2x2+2x3)^2-6x2^2-6x3^2+16x2x3=(x1-2x2+2x3)^2-6(x2-4/3x3)^2+(14/3)x3^2令(y1,y2,y3)'=(x1-2x2+2x3,
3x^2+4x-7=0(3x+7)(x-1)=0x1=-7/3,x2=1x1+x2=-4/3x1x2=-7/3
应该是(x1^2)+2(x2^2)+3(x3^2)+4(x1x2)-4(x2x3)=(x1^2)+2(x2^2)+3(x3^2)+2(x1x2)-2(x2x3)+2(x2x1)-2(x3x2)所以A=
按你写这个我也看不懂.大概猜一下是(sin^2x+cos^2x)/(sinxcosx)*cos^2x=1/(sinxcosx)*cos^2x=cosx/sinx
提取公因式(x1-x2)原式=(x1-x2)]1-4/x1x2]
二次型的矩阵A=1-11-14-11-10构造矩阵(上下两块)AE=1-11-14-11-10100010001c2+c1,c3-c1(同时实施相应的初等行变换)10003000-111-101000