Solve for n
n=\frac{-x^{2}-1}{2}
Solve for x (complex solution)
x=-\sqrt{-2n-1}
x=\sqrt{-2n-1}
Solve for x
x=\sqrt{-2n-1}
x=-\sqrt{-2n-1}\text{, }n\leq -\frac{1}{2}
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2n+1=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
2n=-x^{2}-1
Subtract 1 from both sides.
\frac{2n}{2}=\frac{-x^{2}-1}{2}
Divide both sides by 2.
n=\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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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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