The sum of two consecutive odd integers is at least 16

1 answer:

5 0

Odd integers are represented by 2n+1 where n is a whole number

consecutive odd are 2 apart so
they are 2n+1 and 2n+1+2

the sum of them is at least 16
2n+1+2n+1+2<u>></u>16
4n+4<u>></u>16
minus 4
4n<u>></u>12
divide 4
n<u>></u>3
sub back

2n+1 and 2n+3
2(3)+1 and 2(3)+3
6+1 and 6+3
7 and 9

they have to be at least 7 and 9

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6 + 4 = 10
6*4 = 24

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a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
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