gdragon122000 gdragon122000
  • 24-05-2021
  • Mathematics
contestada

HELP AND I WILL GIVE BRAINLIEST!
What is the value of c such that x^2 - 6x + c is a perfect-square trinomial?
a. 36
b. 9
c. -3
d. 18

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sreedevi102
sreedevi102 sreedevi102
  • 24-05-2021

Answer:

[tex]x^2 -6x +c \ is \ the \ perfect \ square\\=> x^2 -6x + c = (x -k)^2\\=>x^2 -6x+c = x^2 -2kx + k^2\\Equating \ the \ like \ terms,\\-6x = -2kx\\k = 3\\substituting \ k \ in \ (x-k) = (x-3)\\x^2 -6x +c = (x-3)^2\\\\X^2 - 6x + c = x^2 -6x +9 \\\\=> c = 9[/tex]

opion. b

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2021UnkownUser2021 2021UnkownUser2021
  • 24-05-2021

Answer:

b

Step-by-step explanation:

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