Luacháil (complex solution)
y=x^{2}-2x+4y\text{ and }x^{2}-2x+4y=x+2k
Réitigh do x.
\left\{\begin{matrix}x=-\frac{\sqrt{-24k-6\sqrt{1-24k}+10}}{2}+1\text{, }&y=2k+\frac{\sqrt{1-24k}}{2}-\frac{1}{2}\text{ and }k\geq -\frac{1}{3}\text{ and }k\leq \frac{1}{24}\\x=-\frac{\sqrt{-24k+6\sqrt{1-24k}+10}}{2}+1\text{, }&y=2k-\frac{\sqrt{1-24k}}{2}-\frac{1}{2}\text{ and }k\leq \frac{1}{24}\\x=\frac{\sqrt{-24k-6\sqrt{1-24k}+10}}{2}+1\text{, }&y=2k+\frac{\sqrt{1-24k}}{2}-\frac{1}{2}\text{ and }k\geq -\frac{5}{8}\text{ and }k\leq -\frac{1}{3}\\x=\sqrt{1-3y}+1\text{, }&y=2k+\frac{\sqrt{1-24k}}{2}-\frac{1}{2}\text{ and }k\leq -\frac{5}{8}\end{matrix}\right.
Réitigh do y.
y=\frac{x\left(2-x\right)}{3}
k=-\frac{x\left(x+1\right)}{6}
Graf
Tráth na gCeist
Algebra
y = x ^ { 2 } - 2 x + 4 y = x + 2 k
Roinn
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