👤

Daca 3x²+y²-6√3x-2√2y+11=0, calculati x²+y².

Răspuns :

3x²+y²-6√3x-2√2y+11=0
[(√3x)²-2*3*√3x+3²]+(y²-2√2y+√2²)=0
(√3x-3)²+(y-√2)²=0
√3x-3=0=>x=3/√3=√3
y-√2=0=>y=√2
x²+y²=3+2=5