x, y, z માટે ઉકેલો (જટિલ સમાધાન)
\left\{\begin{matrix}x=\frac{i\sqrt{a}\sqrt{a-2m}-2m}{m}\text{, }y=\frac{a}{m}\text{, }z=a\text{; }x=\frac{-i\sqrt{a}\sqrt{a-2m}-2m}{m}\text{, }y=\frac{a}{m}\text{, }z=a\text{, }&m\neq 0\text{ and }a=b\\x\in \mathrm{C}\text{, }y=\sqrt{-\left(x+1\right)\left(x+3\right)}+1\text{, }z=0\text{; }x\in \mathrm{C}\text{, }y=-\sqrt{-\left(x+1\right)\left(x+3\right)}+1\text{, }z=0\text{, }&a=0\text{ and }m=0\text{ and }b=0\end{matrix}\right.
x, y, z માટે ઉકેલો
\left\{\begin{matrix}x=-\frac{\sqrt{b\left(2m-b\right)}+2|m|}{|m|}\text{, }y=\frac{b}{m}\text{, }z=b\text{; }x=\frac{\sqrt{b\left(2m-b\right)}-2|m|}{|m|}\text{, }y=\frac{b}{m}\text{, }z=b\text{, }&\left(m\geq \frac{b}{2}\text{ and }b>0\text{ and }a=b\right)\text{ or }\left(m=\frac{b}{2}\text{ and }b\neq 0\text{ and }a=b\right)\text{ or }\left(b<0\text{ and }m\leq \frac{b}{2}\text{ and }a=b\right)\\x\in \begin{bmatrix}-3,-1\end{bmatrix}\text{, }y=\sqrt{-\left(x+1\right)\left(x+3\right)}+1\text{, }z=0\text{; }x\in \begin{bmatrix}-3,-1\end{bmatrix}\text{, }y=-\sqrt{-\left(x+1\right)\left(x+3\right)}+1\text{, }z=0\text{, }&a=0\text{ and }m=0\text{ and }b=0\end{matrix}\right.
શેર કરો
ક્લિપબોર્ડ પર કૉપિ કરી
ઉદાહરણો
દ્વિઘાત સમીકરણ
{ x } ^ { 2 } - 4 x - 5 = 0
ત્રિકોણમિતિ
4 \sin \theta \cos \theta = 2 \sin \theta
રેખીય સમીકરણ
y = 3x + 4
અંકગણિત
699 * 533
મેટ્રિક્સ
\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]
યુગપત્ સમીકરણ
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
ડિફરેન્શિએશન
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
ઇન્ટિગ્રેશન
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
લિમિટ્સ
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}