POLQ 2 | Lesson 3 | Answer (Predicting Extraneous Solutions)

Squaring an expression in a radical equation can produce extraneous equations because it is a non-invertible operation. In fact, raising and expression to any even power is a non-invertible operation.

One pattern you may notice is if one side of the equation is a negative integer before you square both sides, you will find the solution is extraneous.

Always check your solutions by substituting them back into the equation.


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