Datrys ar gyfer h (complex solution)
\left\{\begin{matrix}h=-S^{-\frac{1}{2}}\sqrt{r_{0}}\sqrt{r_{1}}w\text{; }h=S^{-\frac{1}{2}}\sqrt{r_{0}}\sqrt{r_{1}}w\text{, }&r_{0}\neq 0\text{ and }r_{1}\neq 0\text{ and }w\neq 0\text{ and }S\neq 0\\h\neq 0\text{, }&\left(r_{1}=0\text{ or }w=0\right)\text{ and }S=0\text{ and }r_{0}\neq 0\end{matrix}\right.
Datrys ar gyfer S
S=\left(\frac{w}{h}\right)^{2}r_{0}r_{1}
h\neq 0\text{ and }r_{0}\neq 0
Datrys ar gyfer h
\left\{\begin{matrix}h=w\sqrt{\frac{r_{0}r_{1}}{S}}\text{; }h=-w\sqrt{\frac{r_{0}r_{1}}{S}}\text{, }&\left(w\neq 0\text{ and }S>0\text{ and }r_{1}<0\text{ and }r_{0}<0\right)\text{ or }\left(w\neq 0\text{ and }S<0\text{ and }r_{0}<0\text{ and }r_{1}>0\right)\text{ or }\left(w\neq 0\text{ and }S<0\text{ and }r_{1}<0\text{ and }r_{0}>0\right)\text{ or }\left(w\neq 0\text{ and }S>0\text{ and }r_{0}>0\text{ and }r_{1}>0\right)\\h\neq 0\text{, }&\left(r_{1}=0\text{ or }w=0\right)\text{ and }S=0\text{ and }r_{0}\neq 0\end{matrix}\right.
Rhannu
Copïo i clipfwrdd
Enghreifftiau
Hafaliad cwadratig
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometreg
4 \sin \theta \cos \theta = 2 \sin \theta
Hafaliad llinol
y = 3x + 4
Rhifyddeg
699 * 533
Matrics
\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]
Hafaliad ar y pryd
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Gwahaniaethu
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integreiddiad
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Terfynau
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}