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