Solve 4891^2+3300^2=x^2

$${ 4891 }^{ 2 } + { 3300 }^{ 2 } = { x }^{ 2 }$$

Solve for x

$$x=\sqrt{34811881}\approx 5900.159404626$$

$$x=-\sqrt{34811881}\approx -5900.159404626$$

Steps by Finding Square Root

Calculate 4891 to the power of 2 and get 23921881.

$$23921881+3300^{2}=x^{2}$$

Calculate 3300 to the power of 2 and get 10890000.

$$23921881+10890000=x^{2}$$

Add 23921881 and 10890000 to get 34811881.

$$34811881=x^{2}$$

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

$$x^{2}=34811881$$

Take the square root of both sides of the equation.

$$x=\sqrt{34811881} x=-\sqrt{34811881}$$

Steps Using the Quadratic Formula

Calculate 4891 to the power of 2 and get 23921881.

$$23921881+3300^{2}=x^{2}$$

Calculate 3300 to the power of 2 and get 10890000.

$$23921881+10890000=x^{2}$$

Add 23921881 and 10890000 to get 34811881.

$$34811881=x^{2}$$

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

$$x^{2}=34811881$$

Subtract 34811881 from both sides.

$$x^{2}-34811881=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -34811881 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-34811881\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-34811881\right)}}{2}$$

Multiply -4 times -34811881.

$$x=\frac{0±\sqrt{139247524}}{2}$$

Take the square root of 139247524.

$$x=\frac{0±2\sqrt{34811881}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{34811881}}{2} when ± is plus.

$$x=\sqrt{34811881}$$

Now solve the equation x=\frac{0±2\sqrt{34811881}}{2} when ± is minus.

$$x=-\sqrt{34811881}$$

The equation is now solved.

$$x=\sqrt{34811881} x=-\sqrt{34811881}$$