Решите систему уравнений 2x

July 2022 1 22 Report

Решите систему уравнений
2x - y = 6,
2x² + y² = 66.

Answers & Comments

байонна -y=6-2x
y=2x-6

подставим во второе
2x^2+(2x-6)^2=66
2x^2+4x^2-24x+36-66=0
6x^2-24x-30=0
x^2-4x-5=0
дискриминант=4^2-4*1*(-5)=16+20=36
x1=-1
x2=5

если Х1=-1, то у1=-8
если х2=5, то у2=4

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