다음을 풀어보세요: log_{3}({ex^2+9y^2})+log_{3}({5})=3

x에 대한 해 (complex solution)

x=-\frac{3i\sqrt{\frac{5\left(5y^{2}-3\right)}{e}}}{5}

x=\frac{3i\sqrt{\frac{5\left(5y^{2}-3\right)}{e}}}{5}

y에 대한 해 (complex solution)

y=-\frac{\sqrt{135-25ex^{2}}}{15}

y=\frac{\sqrt{135-25ex^{2}}}{15}

x에 대한 해

x=\frac{3\sqrt{\frac{5\left(3-5y^{2}\right)}{e}}}{5}

x=-\frac{3\sqrt{\frac{5\left(3-5y^{2}\right)}{e}}}{5}\text{, }\left(y\neq 0\text{ and }|y|\leq \frac{\sqrt{15}}{5}\right)\text{ or }|y|<\frac{\sqrt{15}}{5}

y에 대한 해

y=\frac{\sqrt{135-25ex^{2}}}{15}

y=-\frac{\sqrt{135-25ex^{2}}}{15}\text{, }\left(x\neq 0\text{ and }|x|\leq \frac{9}{\sqrt{15e}}\right)\text{ or }|x|<\frac{9}{\sqrt{15e}}

그래프

퀴즈

Algebra

\log_{ 3 }({ e { x }^{ 2 } +9 { y }^{ 2 } }) + \log_{ 3 }({ 5 }) = 3

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이차방정식

{ x } ^ { 2 } - 4 x - 5 = 0

삼각법

4 \sin \theta \cos \theta = 2 \sin \theta

\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]

연립방정식

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

미분

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

적분

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

극한

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

주제

주제

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