Problem

What type of problems have extraneous solutions? (Select all that apply.)
Radical Equations
Quadratic Equations
Rational Equations
Linear Equations

Answer

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Answer

The types of problems that have extraneous solutions are Radical Equations, Quadratic Equations, and Rational Equations.

Steps

Step 1 :Extraneous solutions are solutions that emerge from the process of solving the problem but are not valid solutions to the original problem.

Step 2 :They often occur in radical and rational equations, where squaring both sides or multiplying by a common denominator can introduce new solutions.

Step 3 :Quadratic equations can also have extraneous solutions, especially when they are derived from other types of equations (like radical or rational equations).

Step 4 :Linear equations, on the other hand, do not typically have extraneous solutions because the process of solving them does not introduce new solutions.

Step 5 :The types of problems that have extraneous solutions are Radical Equations, Quadratic Equations, and Rational Equations.

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