This is a free lesson from our course in Algebra II
This lesson introduces the techniques used and concepts involved in solving
radical equations. You will learn it with the help of some
examples and instructor explains using audio, video presentation in own hand writing.
A 'radical equation' is an equation in which the variable is hiding inside a radical
symbol. For example,
x
+ 5 = 11 is a radical equation, but x +
5
= 11 is not a radical equation.
To solve the radical equation, you may follow the four steps.
First isolate radical by using a step: add/subtract a constant and divide/multiply.
Next, square both the sides to eliminate the radical, if any. Then solve the resulting
equation for variable. At the end, our check answer and make sure, we don’t get
negative value under the radical.
E.g. Solving the equation 3
(2x
- 4) + 2 = 14, yields x = 10. Note:The "radical" in "radical equations" can be any root, whether a square root, a cube root, or some other root. Remember always square sides, not terms.
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x
+ 5 = 11 is a radical equation, but x +