Solve for y
y=-\frac{\left(x-4\right)\left(x-1\right)}{2}
Solve for x (complex solution)
x=\frac{\sqrt{9-8y}+5}{2}
x=\frac{-\sqrt{9-8y}+5}{2}
Solve for x
x=\frac{\sqrt{9-8y}+5}{2}
x=\frac{-\sqrt{9-8y}+5}{2}\text{, }y\leq \frac{9}{8}
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y=-\frac{1}{2}\left(x-1\right)\left(x-4\right)
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
y=\left(-\frac{1}{2}x+\frac{1}{2}\right)\left(x-4\right)
Use the distributive property to multiply -\frac{1}{2} by x-1.
y=-\frac{1}{2}x^{2}+\frac{5}{2}x-2
Use the distributive property to multiply -\frac{1}{2}x+\frac{1}{2} by x-4 and combine like terms.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
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Limits
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