1.已知X^2-10X+Y+8Y+41=0,求X和Y.2.已知|M-2|+N^2+6N+9=0,求N^M3.已知(a^2+b^2)^2-2(a^2+b^2)-8=0,求a^2+b^2

Question

1.已知X^2-10X+Y+8Y+41=0,求X和Y.
2.已知|M-2|+N^2+6N+9=0,求N^M
3.已知(a^2+b^2)^2-2(a^2+b^2)-8=0,求a^2+b^2

Answer 1

1.已知X^2-10X+Y^2+8Y+41=0,求X和Y.
(x^2-10x+25)+(y^2+8y+16)=0
(x-5)^2+(y+4)^2=0
x-5=0
y+4=0
x=5
y=-4
2.已知|M-2|+N^2+6N+9=0,求N^M
|m-2|+(n+3)^2=0
因为绝对值和平方数都是大于等于0,所以：
m-2=0
n+3=0
m=2
n=-3
n^m=[-3]^2=9
3.已知(a^2+b^2)^2-2(a^2+b^2)-8=0,求a^2+b^2
[(a^2+b^2)-4][(a^2+b^2)+2]=0
因为：a^2+b^2+2不=0
所以：a^2+b^2-4=0
a^2+b^2=4