Solve r^2-3T+2=0

$$r ^ { 2 } - 3 T + 2 = 0$$

Solve for T

$$T=\frac{r^{2}+2}{3}$$

Steps for Solving Linear Equation

Subtract r^{2} from both sides. Anything subtracted from zero gives its negation.

$$-3T+2=-r^{2}$$

Subtract 2 from both sides.

$$-3T=-r^{2}-2$$

Divide both sides by -3.

$$\frac{-3T}{-3}=\frac{-r^{2}-2}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$T=\frac{-r^{2}-2}{-3}$$

Divide -r^{2}-2 by -3.

$$T=\frac{r^{2}+2}{3}$$

Solve for r (complex solution)

$$r=-\sqrt{3T-2}$$

$$r=\sqrt{3T-2}$$

Solve for r

$$r=\sqrt{3T-2}$$

$$r=-\sqrt{3T-2}\text{, }T\geq \frac{2}{3}$$