Question

1.已知X的平方＋Y的平方＋4X－6Y＋13＝0,那么X的Y次方＝?

Answer 1

1.(x^2+4x+4)+(y^2-6y+9)=0

(x+2)^2+(y-3)^2=0

x+2=0,y-3=0

x=-2,y=3

x^y=(-2)^3=-8

2.a^2-ab+1/4b^2=0

(a-1/2b)^2=0

a-1/2b=0

a=1/2b

b/a=2

3.4x-3y=3x-2y或4x-3y=-(3x-2y)

x=y或x=5/7y

x/y=1或x/y=5/7

4.4X＾2－8XY＋4Y＾2

=4(x-y)^2

=4(2^2005+2^2005)^2

=4*(2*2^2005)^2

=4*(2^2006)^2

=2^2*2^4012

=2^4014

5.X＾2－Y＾2＝21

(x+y)(x-y)=21

x+y=3

x-y=7

x=5,y=-2

x^3+12y^3=125+12*(-8)=29