Algebra Examples

$x^{2} - 3 = 12$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Add $3$ to both sides of the equation.

$x^{2} = 12 + 3$

Step 1.2

Add $12$ and $3$ .

$x^{2} = 15$

Step 2

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

$x = \pm \sqrt{15}$

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.

$x = \sqrt{15}$

Step 3.2

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

$x = - \sqrt{15}$

Step 3.3

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

$x = \sqrt{15}, - \sqrt{15}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt{15}, - \sqrt{15}$

Decimal Form:

$x = 3.87298334 \dots, - 3.87298334 \dots$

Step 5