superivers1 superivers1
  • 12-05-2022
  • Mathematics
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Find the last term to make the trinomial into perfect square
x2 – 2x

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Аноним Аноним
  • 12-05-2022

Answer:

+ 1.

Step-by-step explanation:

That would be (-2/2)^2

= + 1.

x2 - 2x + 1 = (x - 1)(x - 1)

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loneguy
loneguy loneguy
  • 12-05-2022

[tex]\text{If a quadratic expression is a perfect square, then}\\\\~~~~~~~\text{Discriminant = 0}\\\\\implies b^2 -4ac = 0\\\\\implies (-2)^2 -4 c = 0\\\\\implies 4-4c = 0\\\\\implies 4c = 4\\\\\implies c = 1 \\\\\text{Hence, the last term should be 1.}\\\\x^2 -2x +1 = (x-1)^2[/tex]

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