SOLUTION: (X2-5x+5)^x2-9x+2=1

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Question 928037: (X2-5x+5)^x2-9x+2=1
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
IF
(x^2-5x+5)^(x^2-9x + 2) = 1
THEN
(x^2-9x + 2) = 0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=73 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 8.77200187265877, 0.227998127341235. Here's your graph:
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