x+x^-1=3,则x^2+x^-2=?

来源：学生作业帮助网编辑：六六作业网时间：2024/12/25 23:41:37

x+x^-1=3,则x^2+x^-2=?x+x^-1=3,则x^2+x^-2=?x+x^-1=3,则x^2+x^-2=?x+x^-1=3,两边平方,x^2+2+x^-2=9,x^2+x^-2=7x^2

x+x^-1=3,则x^2+x^-2=?
x+x^-1=3,则x^2+x^-2=?

x+x^-1=3,则x^2+x^-2=?
x+x^-1=3,两边平方,x^2+2+x^-2=9,x^2+x^-2=7

x^2+x^-2=(x+1/x)^2-2=3^2-2=7

对原式两边同时平方....
变成x^2+x^-2 +2=9
∴x^2+x^-2=7

x+x^-1=3则（x+x^-1）²=x²+2*x*x^-1+x^-2=x^2+x^-2+2=9
所以x^2+x^-2=7

x+1/x=3，则有：x^2+1+x^-(2)=(x+1/x)^2=9，
所以x^2+x^-2=8

(X+1)X(X+2)X(X+3)=504 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 3X*X-2X+6=8,X=?3X*X-2X+6=8，X=？则代数式1.5X*X-X+1=? 已知X^2-X-1=0,则-X^3+2X+2006X^*X为什么=X^2+X (x-3/x-2)-(x-2/x-1)=(x-5/x4) -(x-4/x-3) 解方程x/(x-2)=2x/(x-3)+(1-x)/(x-5x+6) x(x-2)-2x(x+1)-3x(x-5) 其中x=负½ x(x+1)+(x+2)+(x+3)+(x+4)+(x+5) = 27求x 请问这道题咋做：（x）X (x+1) X (x+2) X (x+3) =360 f(x,-x)=x^2+2x,fx(x,-x)=5x+1,则fy(x,-x)= x+2/x+1-x+4/x+3=x+6/x+5-x+8/x+7 x=? X+X+X+(X-1)+(X-2)+(X-3)+(X-4)=10(X-3)+(X-4) x^4+x^3+x^2+x+1=0,x^2006+x^2005+x^2004+x^2003+x^2002 若x+x^2+x^3=-1 则x^2012+x^2011+x^2010+x^2009+…………+x^3+x^2+x+1= 若x^3+x^2+x+1=0,则x^-27+x^-26+x^-25+……+x^-1+1+x+……+x^26+x^27 写过程x(x-1)+2x(x+1)-3x(2x-5)-x(3x-2)+2x(2-x)=-5x(x-2)-4 (x+1)/(x+2)+(x+8)/(x+9)解答x+1/x+2+x+8/x+9=x+2/x+3+x+7/x+8 已知(x-2)(x-5)/(x-3)(x-4)=x+1/x+2,则x=