помогите пж,алгебра 8 класс. Created by sanessss24. algebra-ru

Объяснение:Пусть у²+4у-1=t ⇒Ответ: y₁=-2-√7 y₂=-2+√7.

помогите пж,алгебра 8 класс...

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помогите пж,алгебра 8 класс

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sangers1959

Verified answer

Объяснение:

$(y^2+4y-1)*(y^2+4y+3)=12.$

Пусть у²+4у-1=t ⇒

$t*(t+4)=12\\t^2+4t-12=0\\D=64\ \ \ \ \sqrt{D}=8\\t_1=y^2+4y-1=-6\\y^2+4y+5=0\\D=-5\ \ \ \ \Rightarrow\\y\in \varnothing .\\t_2=y^2+4y-1=2\\y^2+4y-3=0\\D=28\ \ \ \ \sqrt{D}=2\sqrt{7}\\y_1=-2-\sqrt{7} \ \ \ \ y_2=-2+\sqrt{7} .$

Ответ: y₁=-2-√7 y₂=-2+√7.

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