SOLUTION: solve: (abs(x-1))^(x^2+3x)=(abs(x-1))^(5-x). Abs means Absolute

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Question 1114915: solve: (abs(x-1))^(x^2+3x)=(abs(x-1))^(5-x). Abs means Absolute
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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abs%28x-1%29%5E%28x%5E2%2B3x%29 = abs%28x-1%29%5E%285-x%29  ====>  


x^2 + 3x = 5 - x  ====>


x^2 + 4x - 5 = 0


(x+5)*(x-1) = 0


The roots are  x= -5  and  x= 1.


Both the roots satisfy the original equation.


Answer.  The solutions are  x= -5  and  x= 1.