kylefletcher53
kylefletcher53 kylefletcher53
  • 25-03-2020
  • Mathematics
contestada

Hence explain how you know that x^2-8x+20 is always positive

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Moonnose
Moonnose Moonnose
  • 25-03-2020

If you complete the square you get

[tex]{(x - 4) }^{2} + 4[/tex]

and as any number squared is positive and 4 is positive, the result must be positive

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dannielle
dannielle dannielle
  • 25-03-2020

Answer:

x^2-8x+20=x^2-2*x*4+4^2+4=(x-4)^2+4

so (x-4)^2 is positive or zero (but +4  is always positive)

Step-by-step explanation:

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