Basic Math Examples

y^{2} - 7 = 0

$y^{2} - 7 = 0$

Step 1

Add

7

$7$ to both sides of the equation.

y^{2} = 7

$y^{2} = 7$

Step 2

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

y = \pm \sqrt{7}

$y = \pm \sqrt{7}$

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

$\pm$ to find the first solution.

y = \sqrt{7}

$y = \sqrt{7}$

Step 3.2

Next, use the negative value of the

\pm

$\pm$ to find the second solution.

y = - \sqrt{7}

$y = - \sqrt{7}$

Step 3.3

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

y = \sqrt{7}, - \sqrt{7}

$y = \sqrt{7}, - \sqrt{7}$

y = \sqrt{7}, - \sqrt{7}

$y = \sqrt{7}, - \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

y = \sqrt{7}, - \sqrt{7}

$y = \sqrt{7}, - \sqrt{7}$

Decimal Form:

y = 2.64575131 \dots, - 2.64575131 \dots

$y = 2.64575131 \dots, - 2.64575131 \dots$