Precalculus Examples

$y^{2} = 3 x$

Step 1

Solve for $y$ .

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Step 1.1

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

$y = \pm \sqrt{3 x}$

Step 1.2

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

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Step 1.2.1

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

$y = \sqrt{3 x}$

Step 1.2.2

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

$y = - \sqrt{3 x}$

Step 1.2.3

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

$y = \sqrt{3 x}$

$y = - \sqrt{3 x}$

$y = \sqrt{3 x}$

$y = - \sqrt{3 x}$

$y = \sqrt{3 x}$

$y = - \sqrt{3 x}$

Step 2

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$y = a x^{2} + b x + c$

Step 3

The standard form is $\sqrt{3 x}, - \sqrt{3 x}$ .

$y = \sqrt{3 x}$

$y = - \sqrt{3 x}$

Step 4