SOLUTION: Find all the solutions of the equation {{{(x^2 -7x+11)^(x^2-11x+30) =1}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find all the solutions of the equation {{{(x^2 -7x+11)^(x^2-11x+30) =1}}}      Log On


   

Question 1126757: Find all the solutions of the equation %28x%5E2+-7x%2B11%29%5E%28x%5E2-11x%2B30%29++=1
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find all the solutions of the equation %28x%5E2+-7x%2B11%29%5E%28x%5E2-11x%2B30%29++=1
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Case 1, the exponent = 0
x%5E2-11x%2B30++=+0
x = 5
x = 6
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Case 2, the base = 1
x%5E2+-7x%2B11+=+1
x = 5
x = 2
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For x = 5, 0%5E0+=+1 by consensus