y uchun yechish
y=-\frac{x^{2}}{2}-x+6
x uchun yechish (complex solution)
x=\sqrt{13-2y}-1
x=-\sqrt{13-2y}-1
x uchun yechish
x=\sqrt{13-2y}-1
x=-\sqrt{13-2y}-1\text{, }y\leq \frac{13}{2}
Grafik
Viktorina
Algebra
x ^ { 2 } + 2 y + 2 x = 12
Baham ko'rish
Klipbordga nusxa olish
2y+2x=12-x^{2}
Ikkala tarafdan x^{2} ni ayirish.
2y=12-x^{2}-2x
Ikkala tarafdan 2x ni ayirish.
2y=12-2x-x^{2}
Tenglama standart shaklda.
\frac{2y}{2}=\frac{12-2x-x^{2}}{2}
Ikki tarafini 2 ga bo‘ling.
y=\frac{12-2x-x^{2}}{2}
2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.
y=-\frac{x^{2}}{2}-x+6
12-x^{2}-2x ni 2 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}