Solve for {eq}x {/eq}.

{eq}\displaystyle \sqrt {x + 4} = 2 - x {/eq}

Question:

Solve for {eq}x {/eq}.

{eq}\displaystyle \sqrt {x + 4} = 2 - x {/eq}

Solving the Equation:

By using the factoring method for the quadratic equations, we can easily find the solution for the variable. First, we should factor out the common terms, and then use the zero factor property to get the solution.

Answer and Explanation: 1

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Solution:

$$\begin{align*} \sqrt{x+4} &=2-x \\[0.3cm] \left( \sqrt{x+4} \right)^{2} &=\left( 2-x \right)^{2} & \left[ \text{Squaring on...

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What is Factoring in Algebra? - Definition & Example

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Chapter 13 / Lesson 1
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This lesson focuses on exploring the concepts of factors and factoring in algebra. It shows examples and identities that facilitate equation and expression simplification.


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