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Arisa [49]
3 years ago
8

The product of two consecutive even integers is 728.What are the integers?

Advanced Placement (AP)
1 answer:
Mandarinka [93]3 years ago
7 0
2n\cdot(2n+2)=728\\
4n^2+4n-728=0\\
n^2+n-182=0\\
n^2+14n-13n-182=0\\
n(n+14)-13(n+14)=0\\
(n-13)(n+14)=0\\
n=13 \vee n=-14\\\\
2n=26 \vee 2n=-28\\
2n+2=28 \vee 2n+2=-26

26 nad -28 or -26 and 28
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