Simplifying and Expanding Quadratic Equations - High School Math

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Question

Solve the following equation using the quadratic form:

Answer

Factor the equation and solve:

$x = \pm \sqrt{3}$

or

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

Therefore there are four answers:

$x=\pm\sqrt{3}, \pm i\sqrt{3}$

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Question

Solve the following equation using the quadratic form:

$x-4\sqrt{x}-45=0$

Answer

Factor the equation and solve:

$x-4\sqrt{x}-45=0$

$(\sqrt{x}-9)(\sqrt{x}+5)=0$

$\sqrt{x}=9$

or

$\sqrt{x}=-5$

This has no solutions.

Therefore there is only one answer:

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