Basic Math Examples

$2^{2} = {1.5}^{2} + o^{2}$

Step 1

Rewrite the equation as ${1.5}^{2} + o^{2} = 2^{2}$ .

${1.5}^{2} + o^{2} = 2^{2}$

Step 2

Raise $1.5$ to the power of $2$ .

$2.25 + o^{2} = 2^{2}$

Step 3

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

$2.25 + o^{2} = 4$

Step 4

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

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Step 4.1

Subtract $2.25$ from both sides of the equation.

$o^{2} = 4 - 2.25$

Step 4.2

Subtract $2.25$ from $4$ .

$o^{2} = 1.75$

Step 5

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

$o = \pm \sqrt{1.75}$

Step 6

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

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Step 6.1

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

$o = \sqrt{1.75}$

Step 6.2

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

$o = - \sqrt{1.75}$

Step 6.3

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

$o = \sqrt{1.75}, - \sqrt{1.75}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$o = \sqrt{1.75}, - \sqrt{1.75}$

Decimal Form:

$o = 1.32287565 \dots, - 1.32287565 \dots$