sampachisanga sampachisanga
  • 29-08-2021
  • Mathematics
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For what value of k is the trinomial x2 - 6x + k a perfect square?

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bermatematikacom bermatematikacom
  • 29-08-2021

Answer:

9

Step-by-step explanation:

[tex]x^2-6x+k\\= x^2-6x + 9 + (-9)+k\\=(x-3)^2+k-9[/tex]

So in order this expression to be a perfect square we need k-9=0. Thus k =9.

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