решить систему уравнений | х+2у=1| х^2-ху-2у^2=1. Created by studyKate. algebra-ru

решить систему уравнений | х+2у=1| х^2-ху-2у^2=1...

studyKate @studyKate

July 2022 1 13 Report

решить систему уравнений
| х+2у=1
| х^2-ху-2у^2=1

Answers & Comments

sangers1959

Verified answer

X+2y=1    x=1-2y
x²-xy-2y²=1
(1-2y)²-(1-2y)*y-2y²=1
1-4y+4y²-y+2y²-2y²-1=0
4y²-5y=0
y*(4y-5)=0
y₁=0    x₁=1
4y-5=0
y₂=1,25 x₂=-1,5
Ответ: x₁=1   y₁=0    x₂=-1,5    y₂=1,25.

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