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Question
\frac{3}{2}-\frac{1}{2}n=2n^{3}
Solve the equation(The real numbers system)
n\approx 0.817183
Evaluate
\frac{3}{2}-\frac{1}{2}n=2n^{3}
Move the expression to the left side
\frac{3}{2}-\frac{1}{2}n-2n^{3}=0
Factor the expression
\frac{1}{2}\left(3-n-4n^{3}\right)=0
Divide both sides
3-n-4n^{3}=0
Solution
n\approx 0.817183
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Solve the equation(The complex numbers system)
n_{1}\approx -0.408591-0.866511i,n_{2}\approx -0.408591+0.866511i,n_{3}\approx 0.817183
Evaluate
\frac{3}{2}-\frac{1}{2}n=2n^{3}
Move the expression to the left side
\frac{3}{2}-\frac{1}{2}n-2n^{3}=0
Factor the expression
\frac{1}{2}\left(3-n-4n^{3}\right)=0
Divide both sides
3-n-4n^{3}=0
Calculate
\begin{align}&n\approx 0.817183\\&n\approx -0.408591+0.866511i\\&n\approx -0.408591-0.866511i\end{align}
Solution
n_{1}\approx -0.408591-0.866511i,n_{2}\approx -0.408591+0.866511i,n_{3}\approx 0.817183
Show Solutions
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