докажите, что при любых значениях переменных справедливы неравенства на фото. Умоляю,

докажите, что при любых значениях переменных справедливы неравенства на фото.
Умоляю, очень сложно.
ДАЮ 50 БАЛЛОВ.
Заранее благодарю.
- Предмет:
  Алгебра
- Автор:
  jamyaherman
- 6 лет назад

Ответы 1

a) x² + 2xy + y² = (x+y)² , далее получаем(x+y)² + 2(x+y) + 1 = ((x+y)+1)² = (x+y+1)²(x+y+1)²≥0 - число в степени квадрат положительно либо нульб) Представляем как 5 = 4+1, отсюда получаем(9x²-12x+4) + (y²+4y+1) ≥0(3x-2)² + (2y+1)² ≥0 , так как два слагаемых больше нуля или равны всегда.в) остальные не успел
- Автор:
  rocky
- 6 лет назад
- 0
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докажите, что при любых значениях переменных справедливы неравенства на фото. Умоляю, очень сложно. ДАЮ 50 БАЛЛОВ. Заранее благодарю.

Ответы 1

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докажите, что при любых значениях переменных справедливы неравенства на фото.
Умоляю, очень сложно.
ДАЮ 50 БАЛЛОВ.
Заранее благодарю.