已知x2+5x-990＝0,求

x^2+5x+1=0设x1、x2为方程两个根.根据根与系数的关系,则有x1+x2=-5x1*x2=1x1^2*x2+x2^2*x2=x1*x2(x1+x2)=1*(-5)=-5

1/10x4+3x2+1=x4-x3+(x3+3x2+x)-x+1=x4-x3+x(x2+3x+1)-x+1=x4-x3-x+1=x4-(x3+3x2+x)+3x2+1=x4-x(x2+3x+1)+3

x^2+3x-2＝0,x(x+3)=2,∴(2x-4)╱(x^2+6x+9)÷（x-3）×(x^2-9)╱(2x-x^2)=2(x-2)/(x+3)^*1/(x-3)*(x+3)(x-3)/[x(2-

应该是求-x³+2x²+2008x²=x+1所以x³=x²*x=(x+1)x=x²+x=(x+1)+x=2x+1所以-x³+2x&

x^2-5x-1=0x不等于0方程两边除以xx-1/x=5两边平方x^2+1/(x^2)-2=25x^2+1/(x^2)=27所以x^2+1/(x^2)-11开根号=(27-11)开根号=4

因为x^2＝x＋1,所以x^2-1=x两边平方有：(x^2-1)^2=x^4-2x^2+1=x^2则：x^4+1=3x^2所以x^2＋1/x^2=(1+x^4)/x^2=3x^2/x^2=3

x2+y2-6x-2y+5=0(x-3)^2+(y-1)^2=5表示一个圆,圆心坐标（3,1）x^2+y^2表示圆上一点（x,y)到原点的距离的平方.画图就看出,最大距离是：圆心到原点的距离+半径.即

x1+x2=4/5x1x2=-1/5所以1/x1+1/x2=(x1+x2)/(x1x2)=-4(x1+x2)²=(4/5)²x1²+2x1x2+x2²=16/2

5x2－3x－5=0x=(3+-根109)/10x2－1/x=(+-6根109+118)/100-10/(3+-根109)=(37-+根109)/25再问：x=(3+-根109)/10是10分之3加根

x2-3x+1=0，两边同时除以x得，x-3+1x=0，x+1x=3，两边平方得，x2+2+1x2=9，即x2+1x2=7，原式=1x2+3+1x2=17+3=110．

x^2+3x+1=0方程两边同除以xx+3+1/x=0x+1/x=-3x^2+1/x^2=(x+1/x)^2-2=(-3)^2-2=9-2=7

由X^2-2X=1得X=1加减根号2X^4-X^3-5X^2-7X+5=X^2(X^2-2X)+X(X^2-2X)-3(X^2-2X)-13X+5=X^2+X-3-13X+5=3-10X=-7减加10

∵3x2-x-1=0∴3x2-x=1∴6x3+7x2-5x+1999=2x（3x2-x）+9x2-5x+1999=9x2-3x+1999=3（3x2-x）+1999=3+1999=2002

∵x2+3x-1=0，∴x2+3x=1，x3+5x2+5x+18=x（x2+3x）+2x2+5x+18=x+2x2+5x+18=2（x2+3x）+18=2+18=20．

∵x^2+3x+5=7∴x^2+3x=23x^2+9x+2=3(x^2+3x)+2=3×2+2=8

5x²－3x－5＝0△＝3²－4×5×(－5)＝109x＝[﹣(﹣3)±√109]/5由原方程可得所求式子＝(x＋5)－1/(x＋5)所求式子＝(118±6√109)/25－25/

∵2x-2=0，∴x（x2-x）+x2（5-x）-9=x3-x2+5x2-x3-9=4x2-9=2x2-2+2x2-2-5=0+0-5=-5．

14x^2-4x+1=0=>x^2+1=4x=>(x^2+1)^2=16x^2=>x^4+1=14x^2---------①x^2+(1/x^2)=(1/x^2)(x^4+1)----------②把

已知X1X2为方程5X平方-3X-1=0两个根；所以x1+x2=3/5;x1x2=-1/5;x1-x2=√(x1-x2)²=√[(x1+x2)²-4x1x2]=√(9/25+4/5

X2-3X-1=0则X-3-1/X=0则X-1/X=3则(X-1/X)²=3²=9则X²-2+1/X²=9则X²+1/X²=9+2=11