Solve for y
y=\frac{x^{2}+4}{4}
Solve for x (complex solution)
x=-2\sqrt{y-1}
x=2\sqrt{y-1}
Solve for x
x=2\sqrt{y-1}
x=-2\sqrt{y-1}\text{, }y\geq 1
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x^{2}=4y-4
Use the distributive property to multiply 4 by y-1.
4y-4=x^{2}
Swap sides so that all variable terms are on the left hand side.
4y=x^{2}+4
Add 4 to both sides.
\frac{4y}{4}=\frac{x^{2}+4}{4}
Divide both sides by 4.
y=\frac{x^{2}+4}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{x^{2}}{4}+1
Divide x^{2}+4 by 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}