Precalculus Examples

$y = \sqrt{x}$ , $(9, 3)$

Step 1

Insert the values of $x = 9$ and $y = 3$ into the equation to find if the ordered pair is a solution.

$3 = \sqrt{9}$

Step 2

Remove parentheses.

$3 = \sqrt{9}$

Step 3

Simplify $\sqrt{9}$ .

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Step 3.1

Rewrite $9$ as $3^{2}$ .

$3 = \sqrt{3^{2}}$

Step 3.2

Pull terms out from under the radical, assuming positive real numbers.

$3 = 3$

Step 4

Since $3 = 3$ , the equation will always be true.

Always true

Step 5

Since the equation is always true when the values are used, the ordered pair is a solution.

The ordered pair is a solution to the equation.