d h = ( 15 t + 6 ) d t
d uchun yechish (complex solution)
\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&h=3t\left(5t+2\right)\end{matrix}\right,
h uchun yechish (complex solution)
\left\{\begin{matrix}\\h=3t\left(5t+2\right)\text{, }&\text{unconditionally}\\h\in \mathrm{C}\text{, }&d=0\end{matrix}\right,
d uchun yechish
\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&h=3t\left(5t+2\right)\end{matrix}\right,
h uchun yechish
\left\{\begin{matrix}\\h=3t\left(5t+2\right)\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&d=0\end{matrix}\right,
Baham ko'rish
Klipbordga nusxa olish
dh=\left(15td+6d\right)t
15t+6 ga d ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
dh=15dt^{2}+6dt
15td+6d ga t ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
dh-15dt^{2}=6dt
Ikkala tarafdan 15dt^{2} ni ayirish.
dh-15dt^{2}-6dt=0
Ikkala tarafdan 6dt ni ayirish.
\left(h-15t^{2}-6t\right)d=0
d'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(h-6t-15t^{2}\right)d=0
Tenglama standart shaklda.
d=0
0 ni -15t^{2}-6t+h ga bo'lish.
dh=\left(15td+6d\right)t
15t+6 ga d ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
dh=15dt^{2}+6dt
15td+6d ga t ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{dh}{d}=\frac{3dt\left(5t+2\right)}{d}
Ikki tarafini d ga bo‘ling.
h=\frac{3dt\left(5t+2\right)}{d}
d ga bo'lish d ga ko'paytirishni bekor qiladi.
h=3t\left(5t+2\right)
3dt\left(2+5t\right) ni d ga bo'lish.
dh=\left(15td+6d\right)t
15t+6 ga d ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
dh=15dt^{2}+6dt
15td+6d ga t ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
dh-15dt^{2}=6dt
Ikkala tarafdan 15dt^{2} ni ayirish.
dh-15dt^{2}-6dt=0
Ikkala tarafdan 6dt ni ayirish.
\left(h-15t^{2}-6t\right)d=0
d'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(h-6t-15t^{2}\right)d=0
Tenglama standart shaklda.
d=0
0 ni -15t^{2}-6t+h ga bo'lish.
dh=\left(15td+6d\right)t
15t+6 ga d ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
dh=15dt^{2}+6dt
15td+6d ga t ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{dh}{d}=\frac{3dt\left(5t+2\right)}{d}
Ikki tarafini d ga bo‘ling.
h=\frac{3dt\left(5t+2\right)}{d}
d ga bo'lish d ga ko'paytirishni bekor qiladi.
h=3t\left(5t+2\right)
3dt\left(2+5t\right) ni d ga bo'lish.
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}