Solve for x
x=\frac{y^{2}+2y+5}{4}
Solve for y (complex solution)
y=2\sqrt{x-1}-1
y=-2\sqrt{x-1}-1
Solve for y
y=2\sqrt{x-1}-1
y=-2\sqrt{x-1}-1\text{, }x\geq 1
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12x=3y^{2}+6y+15
Swap sides so that all variable terms are on the left hand side.
\frac{12x}{12}=\frac{3y^{2}+6y+15}{12}
Divide both sides by 12.
x=\frac{3y^{2}+6y+15}{12}
Dividing by 12 undoes the multiplication by 12.
x=\frac{y^{2}}{4}+\frac{y}{2}+\frac{5}{4}
Divide 3y^{2}+6y+15 by 12.
Examples
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Linear equation
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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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