Finite Math Examples

$(x^{2} - 2) = 49$

Step 1

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

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Step 1.1

Add $2$ to both sides of the equation.

$x^{2} = 49 + 2$

Step 1.2

Add $49$ and $2$ .

$x^{2} = 51$

Step 2

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

$x = \pm \sqrt{51}$

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.

$x = \sqrt{51}$

Step 3.2

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

$x = - \sqrt{51}$

Step 3.3

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

$x = \sqrt{51}, - \sqrt{51}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt{51}, - \sqrt{51}$

Decimal Form:

$x = 7.14142842 \dots, - 7.14142842 \dots$

Step 5