Atrast 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,
Atrast 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,
Atrast 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,
Atrast 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,
Graph
Koplietot
Kopēts starpliktuvē
fx^{2}-2x-6y+5=-y^{2}
Atņemiet y^{2} no abām pusēm. Atņemot nu nulles jebko, iegūst tā noliegumu.
fx^{2}-6y+5=-y^{2}+2x
Pievienot 2x abās pusēs.
fx^{2}+5=-y^{2}+2x+6y
Pievienot 6y abās pusēs.
fx^{2}=-y^{2}+2x+6y-5
Atņemiet 5 no abām pusēm.
x^{2}f=2x-y^{2}+6y-5
Vienādojums ir standarta formā.
\frac{x^{2}f}{x^{2}}=\frac{2x-y^{2}+6y-5}{x^{2}}
Daliet abas puses ar x^{2}.
f=\frac{2x-y^{2}+6y-5}{x^{2}}
Dalīšana ar x^{2} atsauc reizināšanu ar x^{2}.
fx^{2}-2x-6y+5=-y^{2}
Atņemiet y^{2} no abām pusēm. Atņemot nu nulles jebko, iegūst tā noliegumu.
fx^{2}-6y+5=-y^{2}+2x
Pievienot 2x abās pusēs.
fx^{2}+5=-y^{2}+2x+6y
Pievienot 6y abās pusēs.
fx^{2}=-y^{2}+2x+6y-5
Atņemiet 5 no abām pusēm.
x^{2}f=2x-y^{2}+6y-5
Vienādojums ir standarta formā.
\frac{x^{2}f}{x^{2}}=\frac{2x-y^{2}+6y-5}{x^{2}}
Daliet abas puses ar x^{2}.
f=\frac{2x-y^{2}+6y-5}{x^{2}}
Dalīšana ar x^{2} atsauc reizināšanu ar x^{2}.
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