Solve c^2=4.16

$$c ^ { 2 } = 4.16$$

Solve for c

$$c = \frac{2 \sqrt{26}}{5} \approx 2.039607805$$

$$c = -\frac{2 \sqrt{26}}{5} \approx -2.039607805$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$c=\frac{2\sqrt{26}}{5} c=-\frac{2\sqrt{26}}{5}$$

Steps Using the Quadratic Formula

Subtract 4.16 from both sides.

$$c^{2}-4.16=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -4.16 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-4.16\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-4.16\right)}}{2}$$

Multiply -4 times -4.16.

$$c=\frac{0±\sqrt{16.64}}{2}$$

Take the square root of 16.64.

$$c=\frac{0±\frac{4\sqrt{26}}{5}}{2}$$

Now solve the equation c=\frac{0±\frac{4\sqrt{26}}{5}}{2} when ± is plus.

$$c=\frac{2\sqrt{26}}{5}$$

Now solve the equation c=\frac{0±\frac{4\sqrt{26}}{5}}{2} when ± is minus.

$$c=-\frac{2\sqrt{26}}{5}$$

The equation is now solved.

$$c=\frac{2\sqrt{26}}{5} c=-\frac{2\sqrt{26}}{5}$$