aleenabestruggling aleenabestruggling
  • 13-06-2021
  • Mathematics
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Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers

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sreedevi102
sreedevi102 sreedevi102
  • 13-06-2021

Answer:

[tex](x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1[/tex]

Step-by-step explanation:

[tex](x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5[/tex]

[tex]Therefore,[/tex]

                [tex]x^2 + 4x + 5 = (x+2)^2 + 1[/tex]

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