Resolver a (complex solution)
\left\{\begin{matrix}a=-i\left(\theta -1\right)^{-\frac{1}{2}}\sqrt{b}\sqrt{\theta +1}\text{; }a=i\left(\theta -1\right)^{-\frac{1}{2}}\sqrt{b}\sqrt{\theta +1}\text{, }&b\neq 0\text{ and }\theta \neq 1\\a\neq 0\text{, }&b=0\text{ and }\theta =1\end{matrix}\right.
Resolver a
\left\{\begin{matrix}a=\sqrt{-\frac{b\left(\theta +1\right)}{\theta -1}}\text{; }a=-\sqrt{-\frac{b\left(\theta +1\right)}{\theta -1}}\text{, }&\left(\theta \leq -1\text{ and }b<0\right)\text{ or }\left(\theta >1\text{ and }b<0\right)\text{ or }\left(\theta \geq -1\text{ and }\theta <1\text{ and }b>0\right)\\a\neq 0\text{, }&b=0\text{ and }\theta =1\end{matrix}\right.
Resolver b
\left\{\begin{matrix}b=-\frac{\left(\theta -1\right)a^{2}}{\theta +1}\text{, }&a\neq 0\text{ and }\theta \neq -1\\b\neq 0\text{, }&a=0\text{ and }\theta =-1\end{matrix}\right.
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Exemplos
Ecuación cuadrática
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometría
4 \sin \theta \cos \theta = 2 \sin \theta
Ecuación linear
y = 3x + 4
Aritmética
699 * 533
Matriz
\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]
Ecuación simultánea
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferenciación
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integración
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Límites
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}