Solve 3^2+x^2=3^2

$${ 3 }^{ 2 } + { x }^{ 2 } = { 3 }^{ 2 }$$

Solve for x

$$x=0$$

Steps by Finding Square Root

Calculate 3 to the power of 2 and get 9.

$$9+x^{2}=3^{2}$$

Calculate 3 to the power of 2 and get 9.

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

Subtract 9 from both sides.

$$x^{2}=9-9$$

Subtract 9 from 9 to get 0.

$$x^{2}=0$$

Take the square root of both sides of the equation.

$$x=0 x=0$$

The equation is now solved. Solutions are the same.

$$x=0$$

Steps Using the Quadratic Formula

Calculate 3 to the power of 2 and get 9.

$$9+x^{2}=3^{2}$$

Calculate 3 to the power of 2 and get 9.

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

Subtract 9 from both sides.

$$9+x^{2}-9=0$$

Subtract 9 from 9 to get 0.

$$x^{2}=0$$

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

$$x=\frac{0±\sqrt{0^{2}}}{2}$$

Take the square root of 0^{2}.

$$x=\frac{0±0}{2}$$

Divide 0 by 2.

$$x=0$$