A uchun yechish (complex solution)
A\in \mathrm{C}
B\neq 0\text{ and }C\neq 0\text{ and }K\neq 0
A uchun yechish
A\in \mathrm{R}
B\neq 0\text{ and }C\neq 0\text{ and }K\neq 0
B uchun yechish
B\neq 0
K\neq 0\text{ and }C\neq 0
Baham ko'rish
Klipbordga nusxa olish
KAB=BAK
Tenglamaning ikkala tarafini BCK ga, BC,KC ning eng kichik karralisiga ko‘paytiring.
KAB-BAK=0
Ikkala tarafdan BAK ni ayirish.
0=0
0 ni olish uchun KAB va -BAK ni birlashtirish.
\text{true}
0 va 0 ni taqqoslang.
A\in \mathrm{C}
Bu har qanday A uchun to‘g‘ri.
KAB=BAK
Tenglamaning ikkala tarafini BCK ga, BC,KC ning eng kichik karralisiga ko‘paytiring.
KAB-BAK=0
Ikkala tarafdan BAK ni ayirish.
0=0
0 ni olish uchun KAB va -BAK ni birlashtirish.
\text{true}
0 va 0 ni taqqoslang.
A\in \mathrm{R}
Bu har qanday A uchun to‘g‘ri.
KAB=BAK
B qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini BCK ga, BC,KC ning eng kichik karralisiga ko‘paytiring.
KAB-BAK=0
Ikkala tarafdan BAK ni ayirish.
0=0
0 ni olish uchun KAB va -BAK ni birlashtirish.
\text{true}
0 va 0 ni taqqoslang.
B\in \mathrm{R}
Bu har qanday B uchun to‘g‘ri.
B\in \mathrm{R}\setminus 0
B qiymati 0 teng bo‘lmaydi.
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}