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Ber [7]
2 years ago
10

The product of two consecutive positive even integers is 8. Find the value of the greater integer.

Mathematics
1 answer:
monitta2 years ago
6 0

Answer:

4

Step-by-step explanation:

n and (n + 2)

Therefore,

n × (n + 2) = 8

n^2 + 2n = 8

n^2 +2n - 8 = 0

n^2 + 4n - 2n -8 = 0

n (n + 4) -2 ( n + 4)

(n - 2 ) ( n + 4)

Therefore,

n = -4 or + 2

But since n can't be negative, n = 2

substituting

(n+2) = 2+2 = 4

Therefore, the value of the greater integer is 4

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