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Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers

Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers
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5 votes
Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers

asked
User Elkin
by
8.4k points

1 Answer

6 votes

Answer:


(x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1

Explanation:


(x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5


Therefore,


x^2 + 4x + 5 = (x+2)^2 + 1

answered
User Yakoudbz
by
7.9k points
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