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love history [14]
3 years ago
11

The product of two positive consecutive integers is 462

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

21 and 22

Step-by-step explanation:

if the first integers is n

The second will be n+1

n(n+1)=462

n²+n=462

n²+n-462=0

n²+22n-21n+462=0

n(n+22)-21(n-22)=0

(n-21)(n-22)=0

n= 21 or 22

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