Solve for a
\left\{\begin{matrix}a=\left(\frac{x}{y}\right)^{2}\text{, }&\left(y>0\text{ and }x\leq 0\right)\text{ or }\left(x\geq 0\text{ and }y<0\right)\\a\geq 0\text{, }&x=0\text{ and }y=0\end{matrix}\right.
Solve for x
x=-\sqrt{a}y
a\geq 0
Graph
Share
Copied to clipboard
y\sqrt{a}+x-x=-x
Subtract x from both sides of the equation.
y\sqrt{a}=-x
Subtracting x from itself leaves 0.
\frac{y\sqrt{a}}{y}=-\frac{x}{y}
Divide both sides by y.
\sqrt{a}=-\frac{x}{y}
Dividing by y undoes the multiplication by y.
a=\frac{x^{2}}{y^{2}}
Square both sides of the equation.
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}