2x 4分之1x=6方程
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x²-13x+1=0两边除以xx+1/x=13两边平方可得x²+1/x²+2=169x²+1/x²=167两边平方可得x^4+1/x^4=167&su
理解为如下等式:2/x+6/(x+1)=18/[x(x+1)]2(x+1)+6x=182x+2+6x=188x=16x=2
x+1/x=3,两边同时平方得到x^2+1/x^2+2=9所以x^2+1/x^2=7x^2/(x^4+x^2+1)=1/(x^2+1/x^2+1)=1/(7+1)=1/8
3分之2x+6分之1x=4分之15/6x=1/4x=1/4÷5/6x=3/10x-9分之7x=12分之52/9x=5/12x=5/12÷2/9x=15/8x+4分之3x=1407/4x=140x=14
2.25x=90x=40
一式无法分解二式(x+1)*(x^2+x+1)*(x^2-x+1)三式无法分解
其实第n项=n*(n+1)=n^+n;则前n项的和为n(n+1)(2n+1)/6+n(n+1)/2=n(n+1)(n+2)/3.题目:带入即可得2010/3
X+(X+12)x5分之4=42X+0.8X+9.6=421.8X=32.4X=18X+(X+28)x4分之3=42X+0.75X+21=421.75X=63X=36X+(15+X)x5分之2=69X
5式相加,3(x1+x2+x3+x4+x5)=1+5-5-3+2=0所以x1+x2+x3+x4+x5=0X1+X2+X3=5,X4+X5+X1=-3,两式相加:X1+(X1+X2+X3+X4+X5)=
X^4+2X^2-1=0(x^2-1)^2=0x^2-1=0x^2=1x=+-1
x^2-3x+1=0x^2+1=3xx+1/x=3(x+1/x)^2=9x^2+1/x^2+2=9x^2+1/x^2=7(x^2+1/x^2)^2=49x^4+1/x^4+2=49x^4+1/x^4=
4x+44=74+x3x=30x=10
x=1/(√5-2)=√5+2x2=9+4√5原式=x2(x2+1)+2x-1=(9+4√5)(10+4√5)+17+8√5=170+76√5+17+8√5=187+84√5
x+1/x=3两边平方x^2+2*x*1/x+1/x^2=3^2x^2+2+1/x^2=9x^2+1/x^2=7x^2/(x^4+x^2+1)上下除以x^2=1/(x^2+1+1/x^2)=1/(7+
1-2x-56=3-x4-2x+4x=3-1+562x=58x=58/2
因为x又x分之1=3,即x+1/x=3所以x+1/x=7则x^4+1/x^4=47所以:(x^10+x^8+x^2+1)/(x^10+x^6+x^4+1)=
3/4x-11/20x4=2两边乘2015x-44=4015x=44+4015x=84x=5.6
原式=(X4-2X2+1)+2*(X3-2X2+X)=(X2-1)^2+2*X(X-1)^2=(X-1)^2(X+1)^2+2*X(X-1)^2=(X-1)^2((X+1)^2+2X)=(X-1)^2
x1+x4=2x1+3dx2+x3=2x1+3dx2+x3=x1+x4x1,x4是方程2x²+3x-1=0的两根,由韦达定理得x1+x4=-3/2x2+x3=-3/2