已知x²-x 1=0,则x的三次方-x² x 5=

X1,X2为方程x²+3x+1=0的两根那么x1²+3x1+1=0x1²=-3x1-1x1（-3x1-1）+8x2+20=-3x1²-x1+8x2+20=-3（

X1.X2是方程:X的平方+3X+1=0的两个实数根则：X1²+3X1+1=0X1²=-3X1-1由韦达定理得：X1+X2=-3X1的三次方+8*X2+20=X1*X1²

x1三次方+8X2+20=x1³+3x1²+x1+8x2+20-3x1²-x1=x1(x1²+3x1+1)+8x2+20-3x1²-x1………………x

由一元二次方程根公式x=[-b±√(b^2-4ac)]/2a可知方程X^2-3X-1=0的两个根分别为：X1=(3+√13)/2;X2=(3-√13)/2.即X=(3±√13)/2(1)又由方程X^2

由题意,f(x)=a(x-x1)(x-x2)(x-x3)则f'(x)=a(x-x2)(x-x3)+a(x-x1)(x-x3)+a(x-x1)(x-x2)令S=a(x1-x2)(x1-x3)(x2-x3

X1、X2是方程X^2+3X+1=0的两实数根韦达定理得:X1+X2=-3X1X2=1X1^2+3X1+1=0x1^2=-(3x1+1)x1^3+8x2+20=-x1*(3x1+1)+8x2+20=-

x1和x2是方程x^2-x-2013=0的根根据韦达定理有：x1+x2=1x1*x2=-2013x1^3+2014x2-2013=(x1+2013)x1+2014x2-2013=x1^2+2013x1

X1、X2是方程X²+3X+1=0的两实数根韦达定理得:X1+X2=-3X1X2=1X1²+3X1+1=0x1²=-(3x1+1)x1³+8x2+20=x1乘x

x1带入方程得：x1²+3x1+1=0再同乘上x1得：x1³+3x1²+x1=0所以x1³=-3x1²-x1=-3(-3x1-1)-x1=8x1+3所

先求出x2是一元二次方程x方+x-4=0的两个实数根,在求x1的三次方-5x的平方+10=?就行了.

X1、X2是方程X^2+3X+1=0的两实数根韦达定理得:X1+X2=-3X1X2=1X1^2+3X1+1=0x1^2=-(3x1+1)x1^3+8x2+20=-x1*(3x1+1)+8x2+20=-

x1+x2=3x1x2=1

X1、X2是方程X^2+3X+1=0的两实数根韦达定理得:X1+X2=-3X1X2=1X1^2+3X1+1=0x1^2=-(3x1+1)x1^3+8x2+20=-x1*(3x1+1)+8x2+20=-

负8又1/8

由题意x1^2+3x1+1=0x1^2=-1-3x1原式=x1*x1^2+8x2+20=x1(-1-3x1)+8x2+20=-3x1^2-x1+8x2+20=-3(-1-3x1)-x1+8x2+20=

1.x²-3x+1=0,所以X不等于0把两边同时除以X得x+x/1=3又,x+x/1=3两边平方得x²+1/x²+2＝9x²+1/x²＝7x²

x²-3x-1=0根据韦达定理得到x1+x2=3x1x2=-1x1^2+x2^2=(x1+x2)^2-2x1x2=9+2=11x1^3+x2^3=(x1+x2)(x1^2-x1x2+x2^2

可以由十字相乘法分解因式为（3x-8)(x+1)=0,解得x1为-1,x2为8/3再问：完整可以吗

-1x1+x2=-3x1^2=-3x1-1x1^3+8x2+20=x1(-3x1-1)+8x2+20=-3x1^2-x1+8x2+20=-3(-3x1-1)-x1+8x2+20=9x1+3-x1+8x

x=x1所以x1²-x1-2013=0x1²=x1+2013所以x1³=x1(x1+2013)=x1²+2013x1=(x1+2013)+2013x=2014x