几题初一初学题已知x+1/x=2,求代数式-2(x+1/x)²+(x+1/x)已知x+y=7/2,xy=-3/2 求4X
3个回答

1+a+b+c=1 (1)

8+4a++2b++c=2 (2)

(2)-(1)得

3a+b=-6

故M-N=8³+64a+8b+c-(-5³+25a-5b+c)

=39a+13b+637

=13(3a+b)+637

=13*(-6)+637

=559

2. 由x²+y²+5/4=2x+y得

(x-1)²+(y-1/2)²=0

故x=1,y=1/2

∴x^y+y^x=1+1/2=3/2

3.由x²+y²/2+4≤xy+2y得

(x-y)²+1/4(y-4)²≤0

故x=y=4

4. 由题意得

2x^2+3xy-2y^2-x+8y-6=(x+2y+m)(2x-y+n)

2x^2+3xy-2y^2-x+8y-6= 2x^2+3xy-2y^2+(2m+n)x+(2n-m)y+mn

故2m+n=-1

2n-m=8

mn=-6

解得m=-2,n=3