x uchun yechish (complex solution)
x\in \mathrm{C}
x uchun yechish
x\in \mathrm{R}
Grafik
Viktorina
Polynomial
5xshash muammolar:
\frac { 9 \cdot 10 ^ { 9 } \cdot x \cdot 0004 } { 3000 } = 0016
Baham ko'rish
Klipbordga nusxa olish
9\times 10^{9}x\times 0\times 0\times 0\times 4=0\times 0\times 16
Tenglamaning ikkala tarafini 3000 ga ko'paytirish.
9\times 1000000000x\times 0\times 0\times 0\times 4=0\times 0\times 16
9 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000 ni qiymatni oling.
9000000000x\times 0\times 0\times 0\times 4=0\times 0\times 16
9000000000 hosil qilish uchun 9 va 1000000000 ni ko'paytirish.
0x\times 0\times 0\times 4=0\times 0\times 16
0 hosil qilish uchun 9000000000 va 0 ni ko'paytirish.
0x\times 0\times 4=0\times 0\times 16
0 hosil qilish uchun 0 va 0 ni ko'paytirish.
0x\times 4=0\times 0\times 16
0 hosil qilish uchun 0 va 0 ni ko'paytirish.
0x=0\times 0\times 16
0 hosil qilish uchun 0 va 4 ni ko'paytirish.
0=0\times 0\times 16
Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.
0=0\times 16
0 hosil qilish uchun 0 va 0 ni ko'paytirish.
0=0
0 hosil qilish uchun 0 va 16 ni ko'paytirish.
\text{true}
0 va 0 ni taqqoslang.
x\in \mathrm{C}
Bu har qanday x uchun to‘g‘ri.
9\times 10^{9}x\times 0\times 0\times 0\times 4=0\times 0\times 16
Tenglamaning ikkala tarafini 3000 ga ko'paytirish.
9\times 1000000000x\times 0\times 0\times 0\times 4=0\times 0\times 16
9 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000 ni qiymatni oling.
9000000000x\times 0\times 0\times 0\times 4=0\times 0\times 16
9000000000 hosil qilish uchun 9 va 1000000000 ni ko'paytirish.
0x\times 0\times 0\times 4=0\times 0\times 16
0 hosil qilish uchun 9000000000 va 0 ni ko'paytirish.
0x\times 0\times 4=0\times 0\times 16
0 hosil qilish uchun 0 va 0 ni ko'paytirish.
0x\times 4=0\times 0\times 16
0 hosil qilish uchun 0 va 0 ni ko'paytirish.
0x=0\times 0\times 16
0 hosil qilish uchun 0 va 4 ni ko'paytirish.
0=0\times 0\times 16
Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.
0=0\times 16
0 hosil qilish uchun 0 va 0 ni ko'paytirish.
0=0
0 hosil qilish uchun 0 va 16 ni ko'paytirish.
\text{true}
0 va 0 ni taqqoslang.
x\in \mathrm{R}
Bu har qanday x uchun to‘g‘ri.
Misollar
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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}