P_z uchun yechish
P_{z}=-\frac{20-v^{2}-x}{v^{2}-20}
|v|\neq 2\sqrt{5}
v uchun yechish
\left\{\begin{matrix}v=\sqrt{-\frac{x+20P_{z}-20}{1-P_{z}}}\text{; }v=-\sqrt{-\frac{x+20P_{z}-20}{1-P_{z}}}\text{, }&\left(P_{z}<1\text{ or }P_{z}\geq -\frac{x}{20}+1\right)\text{ and }\left(P_{z}>1\text{ or }P_{z}\leq -\frac{x}{20}+1\right)\text{ and }\left(P_{z}=-\frac{x}{20}+1\text{ or }P_{z}\neq 1\right)\text{ and }x\neq 0\\v\in \mathrm{R}\setminus 2\sqrt{5},-2\sqrt{5}\text{, }&P_{z}=1\text{ and }x=0\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\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]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}