Solve for y
y=\frac{\left(5-x\right)^{2}}{9}
-\frac{5-x}{3}\geq 0
Solve for y (complex solution)
y=\frac{\left(5-x\right)^{2}}{9}
x=5\text{ or }arg(\frac{5-x}{3})\geq \pi
Solve for x
x=3\sqrt{y}+5
y\geq 0
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3\sqrt{y}+5=x
Swap sides so that all variable terms are on the left hand side.
3\sqrt{y}=x-5
Subtract 5 from both sides.
\frac{3\sqrt{y}}{3}=\frac{x-5}{3}
Divide both sides by 3.
\sqrt{y}=\frac{x-5}{3}
Dividing by 3 undoes the multiplication by 3.
y=\frac{\left(x-5\right)^{2}}{9}
Square both sides of the equation.
Examples
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{ 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}