SOLUTION: Find all solutions of the equation |x^2 - 14x + 29| = 4. Discuss whether or not your solution generates extraneous solutions.
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-> SOLUTION: Find all solutions of the equation |x^2 - 14x + 29| = 4. Discuss whether or not your solution generates extraneous solutions.
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Question 1033366
:
Find all solutions of the equation
|x^2 - 14x + 29| = 4.
Discuss whether or not your solution generates extraneous solutions.
Answer by
josgarithmetic(39620)
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The expression may be negative or non-negative. These two cases give
Solve that system to get possibly four solutions; but you must check each solution in the original equation to find if it works.