以知x+x^-1=3,求x^2/3+x^-2/3.再求:x^2/3-x^-2/3应该是:x^(2/3)-x^(-2/3)x^(2/3)+x^(-2/3)
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/15 10:25:15
以知x+x^-1=3,求x^2/3+x^-2/3.再求:x^2/3-x^-2/3应该是:x^(2/3)-x^(-2/3)x^(2/3)+x^(-2/3)
以知x+x^-1=3,求x^2/3+x^-2/3.
再求:x^2/3-x^-2/3
应该是:x^(2/3)-x^(-2/3)
x^(2/3)+x^(-2/3)
以知x+x^-1=3,求x^2/3+x^-2/3.再求:x^2/3-x^-2/3应该是:x^(2/3)-x^(-2/3)x^(2/3)+x^(-2/3)
因为x^2/3+x^-2/3=1/3(x^2+x^-2).且(x+x^-1)^2=x^2+x^-2+2=3^2=9,所以x^2+x^-2=7,所以x^2/3+x^-2/3=7/3.
同理,x^2/3-x^-2/3=1/3(x^2-x^-2).因为(x+x^-1)^2=x^2+x^-2+2=3^2=9
所以,(x-x^-1)^2=x^2+x^-2-2=5,所以x-x^-1=√5.又因为x^2/3-x^-2/3=1/3(x^2-x^-2)=1/3(X+1/X)(X-1/X)=3√5*1/3=√5
以知x+x^-1=3,求x^2/3+x^-2/3.再求:x^2/3-x^-2/3应该是:x^(2/3)-x^(-2/3)x^(2/3)+x^(-2/3)
x(x+1)+(x+2)+(x+3)+(x+4)+(x+5) = 27求x
一个“整式的乘法”的问题请先阅读下列解题过程,再仿做下面的问题.已知X*X + X - 1=0,求X*X*X + 2*X*X + 3的值.解X*X*X + 2X*X +3=X*X*X +X*X -X +X*X +X +3=X{X*X +X -1} +X*X +X -1 +4=0+0+4=4+ x + X*X + X*X*X=0.+ X*X + X*X*X
以知x³+2x²=x-1,求式子3x³+6x²-3x+2的值
1.以知f(x)={2x-1( x≥2)}{-x^2-3x (x....
以知x+x-1次方=3则x平方+x-2次方等于几
(x+1)(x-1)+2x(x+2)=3(x的平方+1),求X.
已知x^-x-1=0,求x^4+x^3-x^2-4x+3
已知x*x-3x+1=0求√(x*x+1/x-2)=?
y=(2x*x-2x+3)/(x*x-x+1),求值域?
X^2-3X-2=0,求( x - 2x-1/x )÷(x-1)/(x^2-2x)
已知x=1/x,求x^2-6x+9/x-3/x+3/x^2+6x+9
(x-1)(x-2)(x-3)(x-4)=(x+5)(x+6)(x+7)求X等于几?
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
如果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x=2π+1求 |x-1|+|x-2|+|x-3|+|x-4|+|x-5|+|x-6|+|x-7|+|x-8|+|x-9|+|x-10|
已知x=2π+1.求(X-1)+(X-2)+(X-3)+(X-4)+(X-5)+(X-6)+(X-7)+(X-8)+(X-9)+(X-10)
初中数学题目,帮我做做拉以知x+1/x=3,求x^2/x^4+x^2+1的值