Sistemalarni yechishning turli usullari
Javoblar ota-onalar va o‘qituvchilar uchun.
1
x + y + xy = 20, x + y − xy = −4 sistemani yeching.
(2; 6), (6; 2)
2
x² + y² = 25, xy = 12 sistemani yeching.
(3; 4), (4; 3), (−3; −4), (−4; −3)
3
x − y² = 2, xy² = 24 sistemani yeching.
(6; 2), (6; −2)
4
x²y = 9, xy² = 3 sistemani yeching.
(3; 1)
5
x² + y² = s² − 2p formulasini (x + y)² yordamida isbotlang.
s² = (x + y)² = x² + 2xy + y² = x² + y² + 2p, demak x² + y² = s² − 2p.