Réitigh do f. (complex solution)
\left\{\begin{matrix}f=-\frac{5-6y+y^{2}-2x}{x^{2}}\text{, }&x\neq 0\\f\in \mathrm{C}\text{, }&\left(y=5\text{ or }y=1\right)\text{ and }x=0\end{matrix}\right.
Réitigh do f.
\left\{\begin{matrix}f=-\frac{5-6y+y^{2}-2x}{x^{2}}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&\left(y=5\text{ or }y=1\right)\text{ and }x=0\end{matrix}\right.
Réitigh do x. (complex solution)
\left\{\begin{matrix}x=\frac{\sqrt{1-5f+6fy-fy^{2}}+1}{f}\text{; }x=\frac{-\sqrt{1-5f+6fy-fy^{2}}+1}{f}\text{, }&f\neq 0\\x=\frac{\left(y-5\right)\left(y-1\right)}{2}\text{, }&f=0\end{matrix}\right.
Réitigh do x.
\left\{\begin{matrix}x=\frac{\sqrt{1-5f+6fy-fy^{2}}+1}{f}\text{; }x=\frac{-\sqrt{1-5f+6fy-fy^{2}}+1}{f}\text{, }&\left(f\neq 0\text{ and }y=1\right)\text{ or }\left(f\neq 0\text{ and }y\leq 1\text{ and }f\leq -\frac{1}{-y^{2}+6y-5}\right)\text{ or }\left(f\neq 0\text{ and }y=5\right)\text{ or }\left(f\neq 0\text{ and }y\geq 5\text{ and }f\leq -\frac{1}{-y^{2}+6y-5}\right)\text{ or }\left(f\neq 0\text{ and }f\geq -\frac{1}{-y^{2}+6y-5}\text{ and }y\geq 1\text{ and }y\leq 5\right)\text{ or }\left(y\neq 1\text{ and }y\neq 5\text{ and }f=-\frac{1}{-y^{2}+6y-5}\right)\\x=\frac{\left(y-5\right)\left(y-1\right)}{2}\text{, }&f=0\end{matrix}\right.
Graf
Roinn
Cóipeáladh go dtí an ghearrthaisce
fx^{2}-2x-6y+5=-y^{2}
Bain y^{2} ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.
fx^{2}-6y+5=-y^{2}+2x
Cuir 2x leis an dá thaobh.
fx^{2}+5=-y^{2}+2x+6y
Cuir 6y leis an dá thaobh.
fx^{2}=-y^{2}+2x+6y-5
Bain 5 ón dá thaobh.
x^{2}f=2x-y^{2}+6y-5
Tá an chothromóid i bhfoirm chaighdeánach.
\frac{x^{2}f}{x^{2}}=\frac{2x-y^{2}+6y-5}{x^{2}}
Roinn an dá thaobh faoi x^{2}.
f=\frac{2x-y^{2}+6y-5}{x^{2}}
Má roinntear é faoi x^{2} cuirtear an iolrúchán faoi x^{2} ar ceal.
fx^{2}-2x-6y+5=-y^{2}
Bain y^{2} ón dá thaobh. Is ionann rud ar bith a dhealaítear ó nialas agus a shéanadh.
fx^{2}-6y+5=-y^{2}+2x
Cuir 2x leis an dá thaobh.
fx^{2}+5=-y^{2}+2x+6y
Cuir 6y leis an dá thaobh.
fx^{2}=-y^{2}+2x+6y-5
Bain 5 ón dá thaobh.
x^{2}f=2x-y^{2}+6y-5
Tá an chothromóid i bhfoirm chaighdeánach.
\frac{x^{2}f}{x^{2}}=\frac{2x-y^{2}+6y-5}{x^{2}}
Roinn an dá thaobh faoi x^{2}.
f=\frac{2x-y^{2}+6y-5}{x^{2}}
Má roinntear é faoi x^{2} cuirtear an iolrúchán faoi x^{2} ar ceal.
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
y = 3x + 4
Uimhríocht
699 * 533
Maitrís
\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]
Cothromóid chomhuaineach
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}