已知m,n都是方程x2+2008x+2009=0的根,求(m2+2008m-2009)(n2+2008n+2008)的值?2x2-(2根号2)x+1=0 求x?x2-3xy-10y2=0,求x/y的值?2x2是2乘x的平方,10y2是10乘y的平方.3道题回答出有追加分.

问题描述:

已知m,n都是方程x2+2008x+2009=0的根,求(m2+2008m-2009)(n2+2008n+2008)的值?
2x2-(2根号2)x+1=0 求x?x2-3xy-10y2=0,求x/y的值?2x2是2乘x的平方,10y2是10乘y的平方.3道题回答出有追加分.

m2+2008m-2009=m2+2008m+2009-4018
=0+4018
=4018
n2+2008n+2008
=n2+2008n+2008+1-1
=0-1
=-1
2x2-(2根号2)x+1=0
=[(根号2)x-1]^2=0
x=(根号2)/2
x2-3xy-10y2=0
(x+2y)(x-5y)=0
x/y=-2 或x/y=5

n

(2根号2)x=3 x=3根号2/4
(x2/y2)-3x/y-10=0 x/y=5或-2

45545

m,n都是方程x2+2008x+2009=0的根可知m2+2008m=-2009,n2+2008n=-2009所以(m2+2008m-2009)(n2+2008n+2008)=(-2009-2009)*(-2009+2008)=40182x2-(2根号2)x+1=(根号(2)*x-1)^2=0得x=二分之(根2)x2-3xy-10y2=0等价...