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

asked Jun 24, 2022 43.4k views

5 votes

by Elkin

4.1k points

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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

Yakoudbz answered Jun 29, 2022

4.2k points

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