Algebra Examples

$A^{2} + 2^{2} = 5^{2}$

Step 1

Raise $2$ to the power of $2$ .

$A^{2} + 4 = 5^{2}$

Step 2

Raise $5$ to the power of $2$ .

$A^{2} + 4 = 25$

Step 3

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

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Step 3.1

Subtract $4$ from both sides of the equation.

$A^{2} = 25 - 4$

Step 3.2

Subtract $4$ from $25$ .

$A^{2} = 21$

Step 4

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

$A = \pm \sqrt{21}$

Step 5

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

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Step 5.1

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

$A = \sqrt{21}$

Step 5.2

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

$A = - \sqrt{21}$

Step 5.3

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

$A = \sqrt{21}, - \sqrt{21}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$A = \sqrt{21}, - \sqrt{21}$

Decimal Form:

$A = 4.58257569 \dots, - 4.58257569 \dots$