d y = - 0,25 x ^ { 2 } + 4 x - 17
Solve for d
d=-\frac{x^{2}-16x+68}{4y}
y\neq 0
Solve for 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
Share
Copied to clipboard
yd=-\frac{x^{2}}{4}+4x-17
The equation is in standard form.
\frac{yd}{y}=\frac{-\frac{x^{2}}{4}+4x-17}{y}
Divide both sides by y.
d=\frac{-\frac{x^{2}}{4}+4x-17}{y}
Dividing by y undoes the multiplication by y.
d=\frac{-x^{2}+16x-68}{4y}
Divide -\frac{x^{2}}{4}+4x-17 by y.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}