11ladyprincessatipv 11ladyprincessatipv

24-01-2022
Mathematics

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show that x^2 + 2x + 5 is positive for all real values of x

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surjithayer10otahza surjithayer10otahza

24-01-2022

Answer:

Step-by-step explanation:

x²+2x+5

=x²+2x+1+4

=(x+1)²+4

≥ 4

∀ real x

Hence x²+2x+5 ≥ 4≥0

Hence it is always positive.

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