m uchun yechish
m=\frac{x^{2}+3x-2}{x^{2}}
x\neq 0
x uchun yechish (complex solution)
\left\{\begin{matrix}x=\frac{\sqrt{17-8m}+3}{2\left(m-1\right)}\text{; }x=\frac{-\sqrt{17-8m}+3}{2\left(m-1\right)}\text{, }&m\neq 1\\x=\frac{2}{3}\text{, }&m=1\end{matrix}\right,
x uchun yechish
\left\{\begin{matrix}x=\frac{\sqrt{17-8m}+3}{2\left(m-1\right)}\text{; }x=\frac{-\sqrt{17-8m}+3}{2\left(m-1\right)}\text{, }&m\neq 1\text{ and }m\leq \frac{17}{8}\\x=\frac{2}{3}\text{, }&m=1\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
mx^{2}+2=x^{2}+3x
x ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
mx^{2}=x^{2}+3x-2
Ikkala tarafdan 2 ni ayirish.
x^{2}m=x^{2}+3x-2
Tenglama standart shaklda.
\frac{x^{2}m}{x^{2}}=\frac{x^{2}+3x-2}{x^{2}}
Ikki tarafini x^{2} ga bo‘ling.
m=\frac{x^{2}+3x-2}{x^{2}}
x^{2} ga bo'lish x^{2} ga ko'paytirishni bekor qiladi.
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}