- 4 x + 6 - 2 \cdot ( 3 x + 5 ) = \text { (i) } ( 3 x + 2 ) =
x uchun yechish
x=-\frac{46}{109}-\frac{8}{109}i\approx -0,422018349-0,073394495i
Viktorina
Complex Number
5xshash muammolar:
- 4 x + 6 - 2 \cdot ( 3 x + 5 ) = \text { (i) } ( 3 x + 2 ) =
Baham ko'rish
Klipbordga nusxa olish
-4x+6-6x-10=i\left(3x+2\right)
-2 ga 3x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-10x+6-10=i\left(3x+2\right)
-10x ni olish uchun -4x va -6x ni birlashtirish.
-10x-4=i\left(3x+2\right)
-4 olish uchun 6 dan 10 ni ayirish.
-10x-4=3ix+2i
i ga 3x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-10x-4-3ix=2i
Ikkala tarafdan 3ix ni ayirish.
\left(-10-3i\right)x-4=2i
\left(-10-3i\right)x ni olish uchun -10x va -3ix ni birlashtirish.
\left(-10-3i\right)x=2i+4
4 ni ikki tarafga qo’shing.
\left(-10-3i\right)x=4+2i
Tenglama standart shaklda.
\frac{\left(-10-3i\right)x}{-10-3i}=\frac{4+2i}{-10-3i}
Ikki tarafini -10-3i ga bo‘ling.
x=\frac{4+2i}{-10-3i}
-10-3i ga bo'lish -10-3i ga ko'paytirishni bekor qiladi.
x=-\frac{46}{109}-\frac{8}{109}i
4+2i ni -10-3i 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}