f uchun yechish
f=\frac{1}{2}-\frac{1}{2x^{2}}
x\neq 0
x uchun yechish (complex solution)
x=-i\left(2f-1\right)^{-\frac{1}{2}}
x=i\left(2f-1\right)^{-\frac{1}{2}}\text{, }f\neq \frac{1}{2}
x uchun yechish
x=\sqrt{-\frac{1}{2f-1}}
x=-\sqrt{-\frac{1}{2f-1}}\text{, }f<\frac{1}{2}
Grafik
Baham ko'rish
Klipbordga nusxa olish
fx\times 2x=x^{2}-1
Tenglamaning ikkala tarafini 2x ga ko'paytirish.
fx^{2}\times 2=x^{2}-1
x^{2} hosil qilish uchun x va x ni ko'paytirish.
2x^{2}f=x^{2}-1
Tenglama standart shaklda.
\frac{2x^{2}f}{2x^{2}}=\frac{x^{2}-1}{2x^{2}}
Ikki tarafini 2x^{2} ga bo‘ling.
f=\frac{x^{2}-1}{2x^{2}}
2x^{2} ga bo'lish 2x^{2} ga ko'paytirishni bekor qiladi.
f=\frac{1}{2}-\frac{1}{2x^{2}}
x^{2}-1 ni 2x^{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}