Solve for y
y=3x\left(2-x\right)
Solve for x (complex solution)
x=-\frac{\sqrt{9-3y}}{3}+1
x=\frac{\sqrt{9-3y}}{3}+1
Solve for x
x=-\frac{\sqrt{9-3y}}{3}+1
x=\frac{\sqrt{9-3y}}{3}+1\text{, }y\leq 3
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y=-3\left(x^{2}-2x+1\right)+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-1\right)^{2}.
y=-3x^{2}+6x-3+3
Use the distributive property to multiply -3 by x^{2}-2x+1.
y=-3x^{2}+6x
Add -3 and 3 to get 0.
Examples
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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