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College Algebra / Unit 4   Alg 218 short lesson, about 20 seconds

The Unchecked-Squaring Error

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The idea

The unchecked-squaring error reports every root of the squared equation as a solution of the original; the fabricated ones survive only because nobody checked.

In practice

√(2x + 3) = x squares to roots 3 and −1. But √1 = 1, not −1 — the check executes the impostor, and only 3 stands.

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