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find the value of n such that the expression is a perfect square trinomial. y^2-40y+n

 Apr 27, 2016
 #1
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n=400

Factor the following:
y^2-40 y+400

 

The factors of 400 that sum to -40 are -20 and -20. So, y^2-40 y+400 = (y-20) (y-20):
(y-20) (y-20)

 

(y-20) (y-20) = (y-20)^2:
Answer: |  (y-20)^2

 Apr 27, 2016
 #2
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thx

starkiller  Apr 27, 2016

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