Solve 31415926535^2=x^2

$${ 31415926535 }^{ 2 } = { x }^{ 2 }$$

Solve for x

$$x=31415926535$$

$$x=-31415926535$$

Steps by Finding Square Root

Calculate 31415926535 to the power of 2 and get 986960440052517106225.

$$986960440052517106225=x^{2}$$

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

$$x^{2}=986960440052517106225$$

Take the square root of both sides of the equation.

$$x=31415926535 x=-31415926535$$

Steps Using the Quadratic Formula

Calculate 31415926535 to the power of 2 and get 986960440052517106225.

$$986960440052517106225=x^{2}$$

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

$$x^{2}=986960440052517106225$$

Subtract 986960440052517106225 from both sides.

$$x^{2}-986960440052517106225=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -986960440052517106225 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-986960440052517106225\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-986960440052517106225\right)}}{2}$$

Multiply -4 times -986960440052517106225.

$$x=\frac{0±\sqrt{3947841760210068424900}}{2}$$

Take the square root of 3947841760210068424900.

$$x=\frac{0±62831853070}{2}$$

Now solve the equation x=\frac{0±62831853070}{2} when ± is plus. Divide 62831853070 by 2.

$$x=31415926535$$

Now solve the equation x=\frac{0±62831853070}{2} when ± is minus. Divide -62831853070 by 2.

$$x=-31415926535$$

The equation is now solved.

$$x=31415926535 x=-31415926535$$