Если x^2+y^2=k и xy=m ,то найдите x^4+x^2*y^2+y^4. Created by matlyubax. algebra-ru

Если x^2+y^2=k и xy=m ,то найдите x^4+x^2*y^2+y^4...

August 2022 1 8 Report

Если x^2+y^2=k и xy=m ,то найдите x^4+x^2*y^2+y^4

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kolobok1431 X² + y² = k
xy = m
Найти x⁴ + x² * y² + y⁴
Решение
x⁴ + x²*y² + y⁴ = (х⁴ + 2х²у² + у⁴ ) - х²у² = (х² + у²)² - (ху)² = k² - m²
Ответ: k² - m²

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