Question

x² + 3x + y²-√3y +3

sa se scrie sub forme de suna de patrate ​

Answer 1

Răspuns:

x²+3x+y²-√3y+3=(x+3/2)²+(y-√3/2)²

Explicație pas cu pas:

x²+3x+y²-√3y+3=

= x²+2×3x/2+(3/2)²+y²-2×√3y/2+(√3/2)²

=(x+3/2)²+(y-√3/2)²

Obs.  (3/2)²+(√3/2)²=9/4+3/4=12/4=3

2×3x/2=3x

2×√3y/2=√3y