Solve x^2=1^2+810^2

$$x ^ { 2 } = 1 ^ { 2 } + 810 ^ { 2 }$$

Solve for x

$$x=\sqrt{656101}\approx 810.000617284$$

$$x=-\sqrt{656101}\approx -810.000617284$$

Steps by Finding Square Root

Calculate 1 to the power of 2 and get 1.

$$x^{2}=1+810^{2}$$

Calculate 810 to the power of 2 and get 656100.

$$x^{2}=1+656100$$

Add 1 and 656100 to get 656101.

$$x^{2}=656101$$

Take the square root of both sides of the equation.

$$x=\sqrt{656101} x=-\sqrt{656101}$$

Steps Using the Quadratic Formula

Calculate 1 to the power of 2 and get 1.

$$x^{2}=1+810^{2}$$

Calculate 810 to the power of 2 and get 656100.

$$x^{2}=1+656100$$

Add 1 and 656100 to get 656101.

$$x^{2}=656101$$

Subtract 656101 from both sides.

$$x^{2}-656101=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -656101 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-656101\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-656101\right)}}{2}$$

Multiply -4 times -656101.

$$x=\frac{0±\sqrt{2624404}}{2}$$

Take the square root of 2624404.

$$x=\frac{0±2\sqrt{656101}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{656101}}{2} when ± is plus.

$$x=\sqrt{656101}$$

Now solve the equation x=\frac{0±2\sqrt{656101}}{2} when ± is minus.

$$x=-\sqrt{656101}$$

The equation is now solved.

$$x=\sqrt{656101} x=-\sqrt{656101}$$