Solve for y
y=-\frac{x}{2}-\frac{3}{2x}
x\neq 0
Solve for x (complex solution)
x=\sqrt{y^{2}-3}-y
x=-\sqrt{y^{2}-3}-y
Solve for x
x=\sqrt{y^{2}-3}-y
x=-\sqrt{y^{2}-3}-y\text{, }|y|\geq \sqrt{3}
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2yx+3=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
2yx=-x^{2}-3
Subtract 3 from both sides.
2xy=-x^{2}-3
The equation is in standard form.
\frac{2xy}{2x}=\frac{-x^{2}-3}{2x}
Divide both sides by 2x.
y=\frac{-x^{2}-3}{2x}
Dividing by 2x undoes the multiplication by 2x.
y=-\frac{x}{2}-\frac{3}{2x}
Divide -x^{2}-3 by 2x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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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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