Solve 3.400=c^2

$$3.400 = c ^ { 2 }$$

Solve for c

$$c = \frac{\sqrt{85}}{5} \approx 1.843908891$$

$$c = -\frac{\sqrt{85}}{5} \approx -1.843908891$$

Steps by Finding Square Root

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

$$c^{2}=3.4$$

Take the square root of both sides of the equation.

$$c=\frac{\sqrt{85}}{5} c=-\frac{\sqrt{85}}{5}$$

Steps Using the Quadratic Formula

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

$$c^{2}=3.4$$

Subtract 3.4 from both sides.

$$c^{2}-3.4=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -3.4 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-3.4\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-3.4\right)}}{2}$$

Multiply -4 times -3.4.

$$c=\frac{0±\sqrt{13.6}}{2}$$

Take the square root of 13.6.

$$c=\frac{0±\frac{2\sqrt{85}}{5}}{2}$$

Now solve the equation c=\frac{0±\frac{2\sqrt{85}}{5}}{2} when ± is plus.

$$c=\frac{\sqrt{85}}{5}$$

Now solve the equation c=\frac{0±\frac{2\sqrt{85}}{5}}{2} when ± is minus.

$$c=-\frac{\sqrt{85}}{5}$$

The equation is now solved.

$$c=\frac{\sqrt{85}}{5} c=-\frac{\sqrt{85}}{5}$$