- What does extraneous mean?
- Can an extraneous solution be negative?
- How will you check if your solution is correct?
- How do you know if a solution is extraneous?
- Why do you need to check for extraneous solutions?
- What is the difference between extraneous and no solution?
- What is an extraneous solution to a radical equation?
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.