Trigonometry Examples

$x^{2} = 4 p y$

Step 1

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

$x = \pm \sqrt{4 p y}$

Step 2

Simplify $\pm \sqrt{4 p y}$ .

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Step 2.1

Rewrite $4 p y$ as $2^{2} (p y)$ .

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Step 2.1.1

Rewrite $4$ as $2^{2}$ .

$x = \pm \sqrt{2^{2} p y}$

Step 2.1.2

Add parentheses.

$x = \pm \sqrt{2^{2} (p y)}$

Step 2.2

Pull terms out from under the radical.

$x = \pm 2 \sqrt{p y}$

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.

$x = 2 \sqrt{p y}$

Step 3.2

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

$x = - 2 \sqrt{p y}$

Step 3.3

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

$x = 2 \sqrt{p y}$

$x = - 2 \sqrt{p y}$

$x = 2 \sqrt{p y}$

$x = - 2 \sqrt{p y}$