Solving Equations with Radicals Test #5

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In this section, we learn about solving equations with radicals. In order to solve radical equations, we learn about a new property of equality: the
squaring property of equality. This squaring property of equality tells us that if each side of the equation is squared, all solutions of the original
equation will work in the new equation, but not vice versa. This means we must check all solutions of the transformed equation. Some of the solutions
could be extraneous, meaning they will not satisfy the original equation. This comes from the fact that squaring or raising both sides of an equation
to any even power causes a loss of information. As an example, suppose we see: 2x = 4. We all know that here x = 2, and only 2. If we squared both sides,
we would run into an equation that has solutions: x = 2, or x = -2. In this case, x = -2 is extraneous. It is not a solution to the original equation.
This is why we must always check to make sure each proposed solution is not extraneous, by plugging into the original equation.

Solving Equations with Radicals Resources:

Videos:

Khan Academy - Video
Khan Academy - Video
Virtual Nerd - Video
Text Lessons:

Khan Academy - Text Lesson
Khan Academy - Text Lesson
Chili Math - Text Lesson
Worksheets:

Kuta - Worksheet
Math-Aids - Worksheet
Khan Academy - Practice
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