Solve for C (complex solution)
\left\{\begin{matrix}C=\frac{\left(Q+10\right)^{2}}{2T}\text{, }&T\neq 0\\C\in \mathrm{C}\text{, }&Q=-10\text{ and }T=0\end{matrix}\right.
Solve for C
\left\{\begin{matrix}C=\frac{\left(Q+10\right)^{2}}{2T}\text{, }&T\neq 0\\C\in \mathrm{R}\text{, }&Q=-10\text{ and }T=0\end{matrix}\right.
Solve for Q (complex solution)
Q=\sqrt{2CT}-10
Q=-\sqrt{2CT}-10
Solve for Q
Q=\sqrt{2CT}-10
Q=-\sqrt{2CT}-10\text{, }\left(T\geq 0\text{ and }C\geq 0\right)\text{ or }\left(C\leq 0\text{ and }T\leq 0\right)
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TC=\frac{Q^{2}}{2}+10Q+50
The equation is in standard form.
\frac{TC}{T}=\frac{2\left(\frac{Q}{2}+5\right)^{2}}{T}
Divide both sides by T.
C=\frac{2\left(\frac{Q}{2}+5\right)^{2}}{T}
Dividing by T undoes the multiplication by T.
C=\frac{\left(Q+10\right)^{2}}{2T}
Divide 2\left(5+\frac{Q}{2}\right)^{2} by T.
TC=\frac{Q^{2}}{2}+10Q+50
The equation is in standard form.
\frac{TC}{T}=\frac{2\left(\frac{Q}{2}+5\right)^{2}}{T}
Divide both sides by T.
C=\frac{2\left(\frac{Q}{2}+5\right)^{2}}{T}
Dividing by T undoes the multiplication by T.
C=\frac{\left(Q+10\right)^{2}}{2T}
Divide 2\left(5+\frac{Q}{2}\right)^{2} by T.
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