решите систему уравнений: {х-у=1 {х³-у³=7. Created by Abzal2001. algebra-ru

решите систему уравнений: {х-у=1 {х³-у³=7...

Abzal2001 @Abzal2001

July 2022 2 6 Report

решите систему уравнений:
{х-у=1
{х³-у³=7

Verified answer

X = y + 1
(y + 1)^3 - y^3 = 7*

*
y^3 + 3y^2 + 3y + 1 - y^3 - 7 = 0
3y^2 + 3y - 6 = 0 /:3
y^2 + y - 2 = 0
D = 1 + 8 = 9
y1 = ( - 1 + 3)/2 = 1
y2 = ( - 1 - 3)/2 = - 2

x1 = y1 + 1 = 2
y1 = 1

x2 = y2 + 1 = - 1
y2 = - 2

Ответ
( - 1; - 2); ( 2; 1)

2 votes Thanks 3

Kixcertborn2

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О,Ваше задание решено!Ответ с подробным решением, найдёте Вы во вложениях.

3 votes Thanks 1

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