有理数x、y满足|x+y-3|+(x-y+1)的2次方=0,求(x乘y的2次方)的2次方乘(x的2次方乘y的二次方)的2次方的值...
问题描述:
有理数x、y满足|x+y-3|+(x-y+1)的2次方=0,求(x乘y的2次方)的2次方乘(x的2次方乘y的二次方)的2次方
的值...
答
解 由|x+y-3|+(x-y+1)的2次方=0
得|x+y-3|=0,(x-y+1)的2次方=0
所以x+y-3=0,x-y+1=0
联立方程组解得 x=1,y=2代入(x乘y的2次方)的2次方乘(x的2次方乘y的二次方)的2次方
=(1×2²)²(1²×2²)²
=16×16
=256
答
∵有理数x、y满足|x+y-3|+(x-y+1)的2次方=0
∴x+y-3=0
x-y+1=0
解得:
x=1
y=2
(x乘y的2次方)的2次方乘(x的2次方乘y的二次方)的2次方
=(1*2²)²*(1²*2²)²
=4²*4²
=16*16
=256
答
|x+y-3|+(x-y+1)^2=0
|x+y-3|=0,(x-y+1)^2=0
x+y-3=0
x-y+1=0
解得
x=1
y=2
(xy^2)^2*(x^2y^2)^2
=x^2y^4*x^4y^4
=x^6y^8
=1^6*2^8
=1*256
=256