ແກ້ສຳລັບ D (complex solution)
D=\frac{8i}{e^{s^{\frac{3}{2}}+\frac{\pi i}{4}}-e^{s^{\frac{3}{2}}-\frac{\pi i}{4}}}
ແກ້ສຳລັບ s (complex solution)
\left\{\begin{matrix}s=\frac{\left(-2\ln(D)-4\pi n_{1}i+5\ln(2)\right)^{2}}{4}\text{, }n_{1}\in \mathrm{Z}\text{, }arg(-\ln(D)-2\pi n_{1}i+\frac{5\ln(2)}{2})<\pi \text{, }&D\neq 0\\s=0\text{, }&D=2^{\frac{5}{2}}\end{matrix}\right,
ແກ້ສຳລັບ D
D=\frac{4\sqrt{2}}{e^{s^{\frac{3}{2}}}}
s\geq 0
ແກ້ສຳລັບ s
s=\frac{\sqrt[3]{2}\left(-2\ln(D)+5\ln(2)\right)^{\frac{2}{3}}}{2}
D>0\text{ and }-\ln(D)+\frac{5\ln(2)}{2}\geq 0
ແບ່ງປັນ
ສໍາເນົາຄລິບ
ຕົວຢ່າງ
ສະສົມQuadratic
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
ສະສົມເສັ້ນ
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
ສະສົມພ້ອມກັນ
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
ຄວາມແຕກແຍກ
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
ການຮວມ
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
ຂີດຈໍາກັດ
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}