angelastyles052913 angelastyles052913
  • 28-05-2021
  • Mathematics
contestada

what value is needed to complete the square?
X²-2x + _______

Respuesta :

jadejemp13
jadejemp13 jadejemp13
  • 28-05-2021

Answer:

[tex]X^2-2x+1[/tex]

Step-by-step explanation:

Traditional pattern for a perfect square:

[tex]x^{2} +2ax+a^{2}[/tex]

Which factors into: [tex](x+a)^2[/tex]

We know becuase a is "missing" from the original equation that it must equal 1; therefore:

[tex]x^2+2x+1[/tex]

Which we know is correct because it factors into: [tex](x+1)^2[/tex]

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