Предмет: Алгебра, автор: 546271жтп

Докажите,что при любых значениях Х выражение x^2+y^2-2x+4x+5 принимает неотрицательные значения

Ответы

Автор ответа: kutxen

0

x^2+y^2-2x+4x+5= x^2+y^2+2x+5=y^2+(x^2+2x+1) +4= y^2+(x+1)^2+4>0 (т.к. квадраты всегда больше или равны 0)

Автор ответа: 546271жтп

0

совершеннно верно,надо писать 4 у,а не 4х

Автор ответа: kutxen

0

ок

Автор ответа: kutxen

0

Тогда сейчас исправлю решение

Автор ответа: kutxen

0

там тогда просто получается

Автор ответа: kutxen

0

(x-1)^2+(y+2)^2

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