Solve (6371634^2)=0634^2+x^2

$$( { 6371634 }^{ 2 } )= { 0634 }^{ 2 } + { x }^{ 2 }$$

Solve for x

$$x=6371634$$

$$x=-6371634$$

Steps by Finding Square Root

Calculate 6371634 to the power of 2 and get 40597719829956.

$$40597719829956=\left(0\times 634\right)^{2}+x^{2}$$

Multiply 0 and 634 to get 0.

$$40597719829956=0^{2}+x^{2}$$

Calculate 0 to the power of 2 and get 0.

$$40597719829956=0+x^{2}$$

Anything plus zero gives itself.

$$40597719829956=x^{2}$$

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

$$x^{2}=40597719829956$$

Take the square root of both sides of the equation.

$$x=6371634 x=-6371634$$

Steps Using the Quadratic Formula

Calculate 6371634 to the power of 2 and get 40597719829956.

$$40597719829956=\left(0\times 634\right)^{2}+x^{2}$$

Multiply 0 and 634 to get 0.

$$40597719829956=0^{2}+x^{2}$$

Calculate 0 to the power of 2 and get 0.

$$40597719829956=0+x^{2}$$

Anything plus zero gives itself.

$$40597719829956=x^{2}$$

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

$$x^{2}=40597719829956$$

Subtract 40597719829956 from both sides.

$$x^{2}-40597719829956=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -40597719829956 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-40597719829956\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-40597719829956\right)}}{2}$$

Multiply -4 times -40597719829956.

$$x=\frac{0±\sqrt{162390879319824}}{2}$$

Take the square root of 162390879319824.

$$x=\frac{0±12743268}{2}$$

Now solve the equation x=\frac{0±12743268}{2} when ± is plus. Divide 12743268 by 2.

$$x=6371634$$

Now solve the equation x=\frac{0±12743268}{2} when ± is minus. Divide -12743268 by 2.

$$x=-6371634$$

The equation is now solved.

$$x=6371634 x=-6371634$$