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