Algebra Examples

$x^{2} = 100$

Step 1

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

$x = \pm \sqrt{100}$

Step 2

Simplify $\pm \sqrt{100}$ .

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Step 2.1

Rewrite $100$ as $10^{2}$ .

$x = \pm \sqrt{10^{2}}$

Step 2.2

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

$x = \pm 10$

Step 3

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

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Step 3.1

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

$x = 10$

Step 3.2

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

$x = - 10$

Step 3.3

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

$x = 10, - 10$