Solve c^2=1.2^2+2.5^2

$$c ^ { 2 } = 1.2 ^ { 2 } + 2.5 ^ { 2 }$$

Solve for c

$$c = \frac{\sqrt{769}}{10} \approx 2.773084925$$

$$c = -\frac{\sqrt{769}}{10} \approx -2.773084925$$

Steps by Finding Square Root

Calculate 1.2 to the power of 2 and get 1.44.

$$c^{2}=1.44+2.5^{2}$$

Calculate 2.5 to the power of 2 and get 6.25.

$$c^{2}=1.44+6.25$$

Add 1.44 and 6.25 to get 7.69.

$$c^{2}=7.69$$

Take the square root of both sides of the equation.

$$c=\frac{\sqrt{769}}{10} c=-\frac{\sqrt{769}}{10}$$

Steps Using the Quadratic Formula

Calculate 1.2 to the power of 2 and get 1.44.

$$c^{2}=1.44+2.5^{2}$$

Calculate 2.5 to the power of 2 and get 6.25.

$$c^{2}=1.44+6.25$$

Add 1.44 and 6.25 to get 7.69.

$$c^{2}=7.69$$

Subtract 7.69 from both sides.

$$c^{2}-7.69=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -7.69 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$c=\frac{0±\sqrt{0^{2}-4\left(-7.69\right)}}{2}$$

Square 0.

$$c=\frac{0±\sqrt{-4\left(-7.69\right)}}{2}$$

Multiply -4 times -7.69.

$$c=\frac{0±\sqrt{30.76}}{2}$$

Take the square root of 30.76.

$$c=\frac{0±\frac{\sqrt{769}}{5}}{2}$$

Now solve the equation c=\frac{0±\frac{\sqrt{769}}{5}}{2} when ± is plus.

$$c=\frac{\sqrt{769}}{10}$$

Now solve the equation c=\frac{0±\frac{\sqrt{769}}{5}}{2} when ± is minus.

$$c=-\frac{\sqrt{769}}{10}$$

The equation is now solved.

$$c=\frac{\sqrt{769}}{10} c=-\frac{\sqrt{769}}{10}$$