Solve for y
y=3x^{2}-\frac{x}{2}+\frac{3}{2}
Solve for x (complex solution)
x=\frac{\sqrt{48y-71}+1}{12}
x=\frac{-\sqrt{48y-71}+1}{12}
Solve for x
x=\frac{\sqrt{48y-71}+1}{12}
x=\frac{-\sqrt{48y-71}+1}{12}\text{, }y\geq \frac{71}{48}
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2y=6x^{2}-x+3
The equation is in standard form.
\frac{2y}{2}=\frac{6x^{2}-x+3}{2}
Divide both sides by 2.
y=\frac{6x^{2}-x+3}{2}
Dividing by 2 undoes the multiplication by 2.
y=3x^{2}-\frac{x}{2}+\frac{3}{2}
Divide 6x^{2}-x+3 by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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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