Question

设实数x,y满足x^2+4y^2+2x-47+2=0,则x^2y+2x的值等于_________

Answer 1

设实数x,y满足x^2+4y^2+2x-4y+2=0,

(x+1)²+(2y-1)²=0;

x+1=0;

x=-1;

2y-1=0;

y=1/2;

则x^2y+2x的值等于(-1)²×(1/2)+2×(-1)

=1/2-2

=-3/2;

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