y uchun yechish (complex solution)
y\in \mathrm{C}
y uchun yechish
y\in \mathrm{R}
Grafik
Baham ko'rish
Klipbordga nusxa olish
4y-4+24=8y+20-4y
4y ni olish uchun 3y va y ni birlashtirish.
4y+20=8y+20-4y
20 olish uchun -4 va 24'ni qo'shing.
4y+20=4y+20
4y ni olish uchun 8y va -4y ni birlashtirish.
4y+20-4y=20
Ikkala tarafdan 4y ni ayirish.
20=20
0 ni olish uchun 4y va -4y ni birlashtirish.
\text{true}
20 va 20 ni taqqoslang.
y\in \mathrm{C}
Bu har qanday y uchun to‘g‘ri.
4y-4+24=8y+20-4y
4y ni olish uchun 3y va y ni birlashtirish.
4y+20=8y+20-4y
20 olish uchun -4 va 24'ni qo'shing.
4y+20=4y+20
4y ni olish uchun 8y va -4y ni birlashtirish.
4y+20-4y=20
Ikkala tarafdan 4y ni ayirish.
20=20
0 ni olish uchun 4y va -4y ni birlashtirish.
\text{true}
20 va 20 ni taqqoslang.
y\in \mathrm{R}
Bu har qanday y uchun to‘g‘ri.
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}