Question: What Makes Something A Extraneous Solution?

What does extraneous mean?

1 : existing on or coming from the outside extraneous light.

2a : not forming an essential or vital part extraneous ornamentation..

Can an extraneous solution be negative?

No, it is not possible. Extraneous solutions are created when there is, for example, a squareroot. A principal root only takes the positive solution, but the squareroot in the quadratic equation outputs both the positive and negative value. … Extraneous solutions are c…”

How will you check if your solution is correct?

To check if a given value is a solution to an equation:Evaluate the left-hand side expression at the given value to get a number.Evaluate the right-hand side expression at the given value to get a number.See if the numbers match.

How do you know if a solution is extraneous?

Plug in your solution back into the original equation. If it shows a false meaning (e.g 2=3) or if the value is undefined (n/0), then it’s extraneous.

Why do you need to check for extraneous solutions?

You only need to worry about the extraneous root in the case of a quadratic equation if you made the equation quadratic by multiplying by a variable. Any time you square a negative number or a variable (which may be negative), you risk losing information by making it positive.

What is the difference between extraneous and no solution?

2 Answers By Expert Tutors Extraneous solutions appear to be valid solutions, but when checked back into the original equation they give a false result. You must exclude extraneous solutions from your answer. No solution means there is no value that can make the statement true.

What is an extraneous solution to a radical equation?

When you square a radical equation you sometimes get a solution to the squared equation that is not a solution to the original equation. Such an equation is called an extraneous solution. Remember to always check your solutions in the original equation to discard the extraneous solutions.