Solve V=20sqrt{273+t}

$$V = 20 \sqrt { 273 + t }$$

Solve for t

$$t=\frac{V^{2}-109200}{400}$$

$$V\geq 0$$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

$$20\sqrt{273+t}=V$$

Divide both sides by 20.

$$\frac{20\sqrt{t+273}}{20}=\frac{V}{20}$$

Dividing by 20 undoes the multiplication by 20.

$$\sqrt{t+273}=\frac{V}{20}$$

Square both sides of the equation.

$$t+273=\frac{V^{2}}{400}$$

Subtract 273 from both sides of the equation.

$$t+273-273=\frac{V^{2}}{400}-273$$

Subtracting 273 from itself leaves 0.

$$t=\frac{V^{2}}{400}-273$$

Solve for V (complex solution)

$$V=20\sqrt{t+273}$$

Solve for t (complex solution)

$$t=\frac{V^{2}-109200}{400}$$

$$arg(V)<\pi \text{ or }V=0$$

Solve for V

$$V=20\sqrt{t+273}$$

$$t\geq -273$$