SOLUTION: Find all solutions of the equation |x^2 - 14x + 29| = 4. Discuss whether or not your solution generates extraneous solutions.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all solutions of the equation |x^2 - 14x + 29| = 4. Discuss whether or not your solution generates extraneous solutions.      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
The expression may be negative or non-negative. These two cases give system%28x%5E2-14x%2B29-4=0%2Cand%2Cx%5E2-14x%2B29%2B4=0%29

Solve that system to get possibly four solutions; but you must check each solution in the original equation to find if it works.