Algebra Examples

x^{2} - 4 = 0

$x^{2} - 4 = 0$

Step 1

Add

4

$4$ to both sides of the equation.

x^{2} = 4

$x^{2} = 4$

Step 2

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

x = \pm \sqrt{4}

$x = \pm \sqrt{4}$

Step 3

Simplify

\pm \sqrt{4}

$\pm \sqrt{4}$ .

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Step 3.1

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

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

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

Step 3.2

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

x = \pm 2

$x = \pm 2$

x = \pm 2

$x = \pm 2$

Step 4

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

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Step 4.1

First, use the positive value of the

\pm

$\pm$ to find the first solution.

x = 2

$x = 2$

Step 4.2

Next, use the negative value of the

\pm

$\pm$ to find the second solution.

x = - 2

$x = - 2$

Step 4.3

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

x = 2, - 2

$x = 2, - 2$

x = 2, - 2

$x = 2, - 2$

Step 5