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

 

PLease explain very well on this.

 Dec 14, 2014

Best Answer 

 #1
avatar+23254 
+5

|x² - 14x + 29| = 4

Either:  x² - 14x + 29  =  4         or         x² - 14x + 29  =  -4

             x² - 14x + 25  =  0         or         x² - 14x + 33  =  0

You can factor the one on the right but use the quadratic formula on the left one.

There will be four solutions, two from each part.

 Dec 14, 2014
 #1
avatar+23254 
+5
Best Answer

|x² - 14x + 29| = 4

Either:  x² - 14x + 29  =  4         or         x² - 14x + 29  =  -4

             x² - 14x + 25  =  0         or         x² - 14x + 33  =  0

You can factor the one on the right but use the quadratic formula on the left one.

There will be four solutions, two from each part.

geno3141 Dec 14, 2014

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