Решите систему уравнений:. Created by daniella25. algebra-ru

Решите систему уравнений:...

elinakhilko

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Объяснение:

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m11m

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Ответ:

(1;1)

Объяснение:

$\left \{ {{log_{3}(2x+y)+log_{3}(2x-y)=1 } \atop {log_{3}(2x+y)-log_{3}(2x-y)=1}} \right.\\\left \{ {{log_{3}(4x^{2}-y^{2})=1 } \atop {log_{3}(\frac{2x+y}{2x-y} )=1}} \right.\\ \\\left \{ {{4x^{2}-y^{2}=3} \atop {\frac{2x+y}{2x-y}=3}} \right. =\left \{ {{4x^{2}-y^{2}=3} \atop {-4x+4y=0}} \right.=\left \{ {{4x^{2}-y^{2}=3} \atop {x=y}} \right. =\left \{ {{4y^{2}-y^{2}=3} \atop {x=y}} \right.=\left \{ {{x=1} \atop {y=1}} \right.$

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