Solve for y
y=\frac{2a\left(4-a\right)}{3}
Solve for a (complex solution)
a=-\frac{\sqrt{16-6y}}{2}+2
a=\frac{\sqrt{16-6y}}{2}+2
Solve for a
a=-\frac{\sqrt{16-6y}}{2}+2
a=\frac{\sqrt{16-6y}}{2}+2\text{, }y\leq \frac{8}{3}
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y=\frac{a\left(8-2a\right)}{3}
Express a\times \frac{8-2a}{3} as a single fraction.
y=\frac{8a-2a^{2}}{3}
Use the distributive property to multiply a by 8-2a.
y=\frac{8}{3}a-\frac{2}{3}a^{2}
Divide each term of 8a-2a^{2} by 3 to get \frac{8}{3}a-\frac{2}{3}a^{2}.
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}