Extraneous Solutions

Which of the following below would be an extraneous solution to the equation?

Which of the following below would be an extraneous solution to the equation?

Which of the following below would be an extraneous solution to the equation?

How do you know when a solution is extraneous?

• When you plug in the solution, there is 0 in a numerator.

• When you plug in the solution, there is 0 in a denominator.

• When the solution is x = 0

• It looks extra. 💁‍♀️

Answer explanation

We are not allowed to divide by 0! So when there's a 0 in the denominator after substituting it in, the solution is extraneous.

When we solve an equation, a result that is not really a solution to the equation is called an _______________ result.

Answer explanation

Extraneous

• -2

• 2

• 0

• -1

• 0

• -5

• 5

• 2

CHOOSE ALL THAT COMPLETE THE SENTENCE CORRECTLY: In the process of solving an equation in terms of the variable x, we may create an extraneous result ...

• ... when we multiply the equation by a factor involving x.

• ... when we add x to both sides of the equation.

• ... when we divide the equation by a factor involving x.

• ... when we divide the equation by 1.

• ... when we square both sides of the equation.

An extraneous solution is

• not a concern when solving absolute value equations

• an apparent solution that must be rejected because it does not satisfy the original equation

What is the extraneous solution to the equation, |x - 15| = 4x

• -5

• 3

• 15

• -15

• no extraneous solutions