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f(x)= -x2+6x-5

 Aug 15, 2016
 #1
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Solve for x:
-x^2+6 x-5 = 0

 

The left hand side factors into a product with three terms:
-((x-5) (x-1)) = 0

 

Multiply both sides by -1:
(x-5) (x-1) = 0

 

Split into two equations:
x-5 = 0 or x-1 = 0

 

Add 5 to both sides:
x = 5 or x-1 = 0

 

Add 1 to both sides:
Answer: |x = 5              or              x = 1

 Aug 15, 2016

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