若x,y为实数且满足 x^+3y^-12y+12=0 ,求y^x的值?

问题描述:

若x,y为实数且满足 x^+3y^-12y+12=0 ,求y^x的值?

x^2 + 3y^2 - 12y + 12 = 0
x^2 + 3(y^2 - 4y + 4) = 0
x^2 + 3(y - 2)^2 = 0
x = 0
y = 2
所以 y^x = 2^0 = 1