Solve t=z^2-10t+25

$$t = z ^ { 2 } - 10 t + 25$$

Solve for t

$$t=\frac{z^{2}+25}{11}$$

Steps for Solving Linear Equation

Add 10t to both sides.

$$t+10t=z^{2}+25$$

Combine t and 10t to get 11t.

$$11t=z^{2}+25$$

Divide both sides by 11.

$$\frac{11t}{11}=\frac{z^{2}+25}{11}$$

Dividing by 11 undoes the multiplication by 11.

$$t=\frac{z^{2}+25}{11}$$

Solve for z

$$z=\sqrt{11t-25}$$

$$z=-\sqrt{11t-25}\text{, }t\geq \frac{25}{11}$$