Solve 9^2+25^2=x^2

$$9 ^ { 2 } + 25 ^ { 2 } = x ^ { 2 }$$

Solve for x

$$x=\sqrt{706}\approx 26.570660511$$

$$x=-\sqrt{706}\approx -26.570660511$$

Steps by Finding Square Root

Calculate 9 to the power of 2 and get 81.

$$81+25^{2}=x^{2}$$

Calculate 25 to the power of 2 and get 625.

$$81+625=x^{2}$$

Add 81 and 625 to get 706.

$$706=x^{2}$$

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

$$x^{2}=706$$

Take the square root of both sides of the equation.

$$x=\sqrt{706} x=-\sqrt{706}$$

Steps Using the Quadratic Formula

Calculate 9 to the power of 2 and get 81.

$$81+25^{2}=x^{2}$$

Calculate 25 to the power of 2 and get 625.

$$81+625=x^{2}$$

Add 81 and 625 to get 706.

$$706=x^{2}$$

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

$$x^{2}=706$$

Subtract 706 from both sides.

$$x^{2}-706=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -706 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-706\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-706\right)}}{2}$$

Multiply -4 times -706.

$$x=\frac{0±\sqrt{2824}}{2}$$

Take the square root of 2824.

$$x=\frac{0±2\sqrt{706}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{706}}{2} when ± is plus.

$$x=\sqrt{706}$$

Now solve the equation x=\frac{0±2\sqrt{706}}{2} when ± is minus.

$$x=-\sqrt{706}$$

The equation is now solved.

$$x=\sqrt{706} x=-\sqrt{706}$$