Solve rational equation with no solution

The video tutorial explains how to find the least common denominator (LCD) in equations. It demonstrates multiplying terms to achieve a common denominator and solving the resulting equation. The tutorial also highlights the concept of extraneous solutions, emphasizing the importance of verifying solutions against the original equation.

What is the purpose of finding a common denominator in an equation?

• To eliminate the variable

• To change the equation to a different form

• To make the equation more complex

• To simplify the equation by making all terms have the same denominator

Which operation is performed to simplify the equation after finding the common denominator?

• Addition of all terms

• Multiplication by the common denominator

• Subtraction of the common denominator

• Division by the variable

What is the result of solving the simplified equation in the video?

• N equals 0

• N equals 2

• N equals 1

• N equals -1

Why is the solution obtained considered extraneous?

• It is a complex number

• It satisfies the original equation

• It does not satisfy the original equation

• It is a negative number

What should you ensure when dealing with extraneous solutions?

• That they are ignored completely

• That they are used to find other solutions

• That they are checked against the original equation

• That they are always included in the final answer