Question

已知xy满足4x的平方 +9y的平方-x+6y+16分之17=0,求x的平方y的立方的值

Answer 1

4x^2 +9y^2-x+6y+17/16=0

(4x^2-x+1/16)+(9y^2+6y+1)=0

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

那么2x-1/4=0,3y+1=0

x=1/8,y=-1/3

x^2y^3

=(1/8)^2*(-1/3)^3

=-1/1728