Question

若X的平方加Y的平方加五分之四等于2X加Y,求X的y次方加Y的x次方

Answer 1

x^2+y^2+4/5=2x+y 五分之四应为四分之五
（x^2-2x+1)+(y^2-y+1/4)=0
(x-1)^2+(y-1/2)^2=0
平方为非负数，和为0只有分别等于0
x-1=0 y-1/2=0
x=1,y=1/2
X的y次方加Y的x次方=1^(1/2)+（1/2)^1=1+1/2=3/2

Answer 2

是不是4分之5啊
x²+y²+5/4=2x+y
x²-2x+y²-y+5/4=0
(x-1)²+(y-1/2)²=0
得
x=1 y=1/2
所以
x^y+y^x=1+1/2=3/2

Answer 3

X^2+Y^2+5/4=2X+Y
(X-1)^2+(Y-1/2)^2=0
X=1 Y=1/2
X^Y+Y^X
=1^1/2+1/2^1
=1+1/2
=1.5