Issolvi TC=0.5Q^2+10Q+50

$$T C = 0.5 Q ^ { 2 } + 10 Q + 50$$

Solvi għal C (complex solution)

$$\left\{\begin{matrix}C=\frac{\left(Q+10\right)^{2}}{2T}\text{, }&T\neq 0\\C\in \mathrm{C}\text{, }&Q=-10\text{ and }T=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

L-ekwazzjoni hija f'forma standard.

$$TC=\frac{Q^{2}}{2}+10Q+50$$

Iddividi ż-żewġ naħat b'T.

$$\frac{TC}{T}=\frac{2\left(\frac{Q}{2}+5\right)^{2}}{T}$$

Meta tiddividi b'T titneħħa l-multiplikazzjoni b'T.

$$C=\frac{2\left(\frac{Q}{2}+5\right)^{2}}{T}$$

Iddividi 2\left(5+\frac{Q}{2}\right)^{2} b'T.

$$C=\frac{\left(Q+10\right)^{2}}{2T}$$

Solvi għal C

$$\left\{\begin{matrix}C=\frac{\left(Q+10\right)^{2}}{2T}\text{, }&T\neq 0\\C\in \mathrm{R}\text{, }&Q=-10\text{ and }T=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

L-ekwazzjoni hija f'forma standard.

$$TC=\frac{Q^{2}}{2}+10Q+50$$

Iddividi ż-żewġ naħat b'T.

$$\frac{TC}{T}=\frac{2\left(\frac{Q}{2}+5\right)^{2}}{T}$$

Meta tiddividi b'T titneħħa l-multiplikazzjoni b'T.

$$C=\frac{2\left(\frac{Q}{2}+5\right)^{2}}{T}$$

Iddividi 2\left(5+\frac{Q}{2}\right)^{2} b'T.

$$C=\frac{\left(Q+10\right)^{2}}{2T}$$

Solvi għal Q (complex solution)

$$Q=\sqrt{2CT}-10$$

$$Q=-\sqrt{2CT}-10$$

Solvi għal Q

$$Q=\sqrt{2CT}-10$$

$$Q=-\sqrt{2CT}-10\text{, }\left(T\geq 0\text{ and }C\geq 0\right)\text{ or }\left(C\leq 0\text{ and }T\leq 0\right)$$