已知x 2=y 5=z 7,求x-3y 2z x-5y 4z的值 两种方法
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1/10x4+3x2+1=x4-x3+(x3+3x2+x)-x+1=x4-x3+x(x2+3x+1)-x+1=x4-x3-x+1=x4-(x3+3x2+x)+3x2+1=x4-x(x2+3x+1)+3
∵x2+x-1=0,∴x2+x=1,2x3+3x2-x=2x(x2+x)+x2-x=2x+x2-x=x2+x=1.
因为x=√3+1所以x﹥0,x-1﹥0原式=√[x²/(1-2x+x²)]=√[x²/(x-1)²]=x/(x-1)=(√3+1)/(√3+1-1)=(√3+1
x^2-3x+2=0(x-2)(x-1)=0x=2或x=1当x=2时x^2+1/x^2=2^2+1/2^2=4+1/4=17/4当x=1时x^2+1/x^2=1^2+1/1^2=1+1=2
x+1/x=3(x+1/x)^2=3^2=9x^2+1/x^2+2=9x^2+1/x^2=7
第一问设yˆ5=k3xˆ4因为x=1时,y=2所以2ˆ5=k3*1ˆ464=12kk=16/3所以函数的表达式为yˆ5=(16/3)3xˆ4
1、x+y=a,xy=b①x²+y²=x²+2xy+y²-2xy=(x+y)²-2xy=a²-2b②x³+y³=(x
12^(3x-y)=4^(3x-y)*(3^(3x-y)=2^(6x-2y)*3^(3x-y)=(2^x)^6*(2^y)^(-2)*(3^x)^3*(3^y)^(-1)=1/50
由条件左右除以x,得x+1/x=3平方得:x2+1/x2+2=9所以x2+1/x2—2=5所求值为根号5
x2-3x+1=0,两边同时除以x得,x-3+1x=0,x+1x=3,两边平方得,x2+2+1x2=9,即x2+1x2=7,原式=1x2+3+1x2=17+3=110.
x^2+3x+1=0方程两边同除以xx+3+1/x=0x+1/x=-3x^2+1/x^2=(x+1/x)^2-2=(-3)^2-2=9-2=7
x3-3x2-11x+8=x(x2-3x)-11x+8=x-11x+8=-10x+8
x/x²-3x+1=1/5x²-3x+1=5xx²+1=8xx+1/x=8平方x²+2+1/x²=64x²+1/x²=62x
x2+y2=(x+y)2-2xy=14x3+y3=(x2+y2)×(x+y)-xy2-yx2=14×4-xy(x+y)=52……剩下的就是这么个算法,手机党,求个最佳哈
书写方式不对(1)已知:x*y^2=-6求:-xy(x^3*y^7-x^2*y^5-5y)-xy(x^3*y^7-x^2*y^5-5y)=-x*y^2(x^2*y^6-x^2*y^4-5)=-x*y^
设x1+y1=x2+y2=x3+y3=x4+y4=X5+y5=A,y1=A-x1,y2=A-x2,...,y5=A-x5.yˉ=(y1+y2+...+y5)/5=(A-x1+A-x2+...+A-x5
x+y=1(x+y)^2=x^2+2xy+y^2=1(x+y)^3=x^3+y^3+3xy(x+y)=1而x^3+y^3=1/3,代入得:3xy=2/3xy=2/9由于x=1-y;故代入xy=2/9;
你好x²+3x-1=0两边同除以xx+3-1/x=0x-1/x=-3两边平方得x²+1/x²-2=9x²+1/x²=11x²+1/x
X^2+y^2=(x+y)^2-2Xy=a^2-2bx3次方+y3次方=(x+y)(X^2+y^2-xy)=a(a^2-2b-b)=a^3-3abx4次方+y4次方=(x^2+y^2)^2-2x^2y
X2-3X-1=0则X-3-1/X=0则X-1/X=3则(X-1/X)²=3²=9则X²-2+1/X²=9则X²+1/X²=9+2=11