Réitigh do a. (complex solution)
\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&b=-\frac{\sqrt{30}}{3}\text{ or }b=\frac{\sqrt{30}}{3}\end{matrix}\right.
Réitigh do a.
\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&|b|=\frac{\sqrt{30}}{3}\end{matrix}\right.
Réitigh do b. (complex solution)
\left\{\begin{matrix}\\b=-\frac{\sqrt{30}}{3}\text{; }b=\frac{\sqrt{30}}{3}\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right.
Réitigh do b.
\left\{\begin{matrix}\\b=\frac{\sqrt{30}}{3}\text{; }b=-\frac{\sqrt{30}}{3}\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.
Tráth na gCeist
Linear Equation
3 a b ^ { 2 } = 10 a
Roinn
Cóipeáladh go dtí an ghearrthaisce
3ab^{2}-10a=0
Bain 10a ón dá thaobh.
\left(3b^{2}-10\right)a=0
Comhcheangail na téarmaí ar fad ina bhfuil a.
a=0
Roinn 0 faoi 3b^{2}-10.
3ab^{2}-10a=0
Bain 10a ón dá thaobh.
\left(3b^{2}-10\right)a=0
Comhcheangail na téarmaí ar fad ina bhfuil a.
a=0
Roinn 0 faoi 3b^{2}-10.
Samplaí
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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\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]
Cothromóid chomhuaineach
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Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}