已知x^2-4x+29-10y+y^2=0,求x^2y^2+2x^3y^2+x^4y^2
问题描述:
已知x^2-4x+29-10y+y^2=0,求x^2y^2+2x^3y^2+x^4y^2
答
x^2-4x+29-10y+y^2=(x-2)^2+(y-5)^2=0
x=2 y=5
x^2y^2+2x^3y^2+x^4y^2=4*25+2*8*25+16*25=900