Solve for u
u=\frac{r^{2}+3}{12}
Solve for r (complex solution)
r=-\sqrt{12u-3}
r=\sqrt{12u-3}
Solve for r
r=\sqrt{12u-3}
r=-\sqrt{12u-3}\text{, }u\geq \frac{1}{4}
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12u=r^{2}+3
Add 3 to both sides.
\frac{12u}{12}=\frac{r^{2}+3}{12}
Divide both sides by 12.
u=\frac{r^{2}+3}{12}
Dividing by 12 undoes the multiplication by 12.
u=\frac{r^{2}}{12}+\frac{1}{4}
Divide r^{2}+3 by 12.
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