Solve 44^2=x^2+36^2

$$44 ^ { 2 } = x ^ { 2 } + 36 ^ { 2 }$$

Solve for x

$$x=8\sqrt{10}\approx 25.298221281$$

$$x=-8\sqrt{10}\approx -25.298221281$$

Steps by Finding Square Root

Calculate 44 to the power of 2 and get 1936.

$$1936=x^{2}+36^{2}$$

Calculate 36 to the power of 2 and get 1296.

$$1936=x^{2}+1296$$

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

$$x^{2}+1296=1936$$

Subtract 1296 from both sides.

$$x^{2}=1936-1296$$

Subtract 1296 from 1936 to get 640.

$$x^{2}=640$$

Take the square root of both sides of the equation.

$$x=8\sqrt{10} x=-8\sqrt{10}$$

Steps Using the Quadratic Formula

Calculate 44 to the power of 2 and get 1936.

$$1936=x^{2}+36^{2}$$

Calculate 36 to the power of 2 and get 1296.

$$1936=x^{2}+1296$$

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

$$x^{2}+1296=1936$$

Subtract 1936 from both sides.

$$x^{2}[phone]=0$$

Subtract 1936 from 1296 to get -640.

$$x^{2}-640=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -640 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-640\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-640\right)}}{2}$$

Multiply -4 times -640.

$$x=\frac{0±\sqrt{2560}}{2}$$

Take the square root of 2560.

$$x=\frac{0±16\sqrt{10}}{2}$$

Now solve the equation x=\frac{0±16\sqrt{10}}{2} when ± is plus.

$$x=8\sqrt{10}$$

Now solve the equation x=\frac{0±16\sqrt{10}}{2} when ± is minus.

$$x=-8\sqrt{10}$$

The equation is now solved.

$$x=8\sqrt{10} x=-8\sqrt{10}$$