Solve for x 2(x^2-81)(x^2-13)=0

$2 (x^{2} - 81) (x^{2} - 13) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x^{2} - 81 = 0$

$x^{2} - 13 = 0$

Set $x^{2} - 81$ equal to $0$ and solve for $x$ .

Set $x^{2} - 81$ equal to $0$ .

$x^{2} - 81 = 0$

Solve $x^{2} - 81 = 0$ for $x$ .

Add $81$ to both sides of the equation.

$x^{2} = 81$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{81}$

Simplify $\pm \sqrt{81}$ .

Rewrite $81$ as $9^{2}$ .

$x = \pm \sqrt{9^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 9$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = 9$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 9$

The complete solution is the result of both the positive and negative portions of the solution.

$x = 9, - 9$

Set $x^{2} - 13$ equal to $0$ and solve for $x$ .

Set $x^{2} - 13$ equal to $0$ .

$x^{2} - 13 = 0$

Solve $x^{2} - 13 = 0$ for $x$ .

Add $13$ to both sides of the equation.

$x^{2} = 13$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{13}$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = \sqrt{13}$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - \sqrt{13}$

The complete solution is the result of both the positive and negative portions of the solution.

$x = \sqrt{13}, - \sqrt{13}$

The final solution is all the values that make $2 (x^{2} - 81) (x^{2} - 13) = 0$ true.

$x = 9, - 9, \sqrt{13}, - \sqrt{13}$

The result can be shown in multiple forms.

Exact Form:

$x = 9, - 9, \sqrt{13}, - \sqrt{13}$

Decimal Form:

$x = 9, - 9, 3.60555127 \dots, - 3.60555127 \dots$

Solve for x 2(x^2-81)(x^2-13)=0

Related Questions

Support LCMGCF.com by disabling your adblocker.