d y = - 0.25 x ^ { 2 } + 4 x - 17
Whakaoti mō d (complex solution)
\left\{\begin{matrix}d=-\frac{x^{2}-16x+68}{4y}\text{, }&y\neq 0\\d\in \mathrm{C}\text{, }&\left(x=8-2i\text{ or }x=8+2i\right)\text{ and }y=0\end{matrix}\right.
Whakaoti mō d
d=-\frac{x^{2}-16x+68}{4y}
y\neq 0
Whakaoti mō x (complex solution)
x=-2\sqrt{-dy-1}+8
x=2\left(\sqrt{-dy-1}+4\right)
Whakaoti mō x
x=-2\sqrt{-dy-1}+8
x=2\sqrt{-dy-1}+8\text{, }\left(y>0\text{ or }d\geq -\frac{1}{y}\right)\text{ and }\left(y<0\text{ or }d\leq -\frac{1}{y}\right)\text{ and }y\neq 0
Graph
Tohaina
Kua tāruatia ki te papatopenga
yd=-\frac{x^{2}}{4}+4x-17
He hanga arowhānui tō te whārite.
\frac{yd}{y}=\frac{-\frac{x^{2}}{4}+4x-17}{y}
Whakawehea ngā taha e rua ki te y.
d=\frac{-\frac{x^{2}}{4}+4x-17}{y}
Mā te whakawehe ki te y ka wetekia te whakareanga ki te y.
d=\frac{-x^{2}+16x-68}{4y}
Whakawehe -\frac{x^{2}}{4}+4x-17 ki te y.
yd=-\frac{x^{2}}{4}+4x-17
He hanga arowhānui tō te whārite.
\frac{yd}{y}=\frac{-\frac{x^{2}}{4}+4x-17}{y}
Whakawehea ngā taha e rua ki te y.
d=\frac{-\frac{x^{2}}{4}+4x-17}{y}
Mā te whakawehe ki te y ka wetekia te whakareanga ki te y.
d=\frac{-x^{2}+16x-68}{4y}
Whakawehe -\frac{x^{2}}{4}+4x-17 ki te y.
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