设x-1\x=3,求x^10+x^8+x^2+1\x^10+x^6+x^4+1的值,

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/04/29 10:51:32

x-1/x=3
=>x^2+1/x^2=(x-1/x)^2+2=3^2+2=11
(x+1/x)^2=(x-1/x)^2+4=9+4=13
=>x+1/x=√13
=>x^3+1/x^3=(x+1/x)(x^2+1/x^2-1）=√13*（11-1）=10√3
=>x^4+1/x^4=（x^2+1/x^2)^2-2=11^2-2=119
(x^10+x^8+x^2+1)/x^10+x^6+x^4+1
=(x^6(x^4+1/x^4)+x^4(x^4+1/x^4))/(x^7（x^3+1/x^3)+x^3(x^3+1/x^3))
=119(x^6+x^4)/(10√3*(x^7+x^3))
=119x^5(x+1/x)/(10√3x^5(x^2+1/x^2))
=119*3/(10√3*11)
=119√3/110

设x-1\x=3,求x^10+x^8+x^2+1\x^10+x^6+x^4+1的值, 设函数f(x)=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10), 已知1+x+x^2+x^3=0,求x+x^2+x^3+x^4+x^5+x^6+x^7+x^8的值已知1+x+x^2+x^3=0,求x+x^2+x^3+x^4+x^+x^6+x^7+x^8的值 y=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10)的导数在x=1 |X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10| 已知 X=4- 根号3 求 (X*X*X*X-6X*X*X-2X*X+18X+23) / (X*X-8X+15)的值 1X?+2X?+3X?+4X?+5X?+6X?+7X?+8X?+9X?+10X?=1980求?是多少求函数y=\x-1\+\x-2\+\x-3\+\x-4\+\x-5\+\x-6\+.+\x-10\的最小值设x-1／x=3,求x的10次方+x的8次方+x的2次方+1／x的10次方+x的6次方+x的4次方+1的值高中衔接数学题设x-(1/x)=3,求（x^10+x^8+x^2+1)/(x^10+x^6+x^4+1)的值.算的时候最 1x+2x+3x+4x+5x+6x+7x+8x+9x+10x+11x+12x+13x+14x+15x=550