Solve x^2-14t+49=0

$$x ^ { 2 } - 14 t + 49 = 0$$

Solve for t

$$t=\frac{x^{2}+49}{14}$$

Steps for Solving Linear Equation

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

$$-14t+49=-x^{2}$$

Subtract 49 from both sides.

$$-14t=-x^{2}-49$$

Divide both sides by -14.

$$\frac{-14t}{-14}=\frac{-x^{2}-49}{-14}$$

Dividing by -14 undoes the multiplication by -14.

$$t=\frac{-x^{2}-49}{-14}$$

Divide -x^{2}-49 by -14.

$$t=\frac{x^{2}}{14}+\frac{7}{2}$$

Solve for x (complex solution)

$$x=-\sqrt{14t-49}$$

$$x=\sqrt{14t-49}$$

Solve for x

$$x=\sqrt{14t-49}$$

$$x=-\sqrt{14t-49}\text{, }t\geq \frac{7}{2}$$