Question

MATHEMATICS
The product of two consecutive positive integers is 306. We need to find the
integers.
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Answer 1

Step-by-step explanation:

Let integers be n and (n+1)

n(n+1)=306

2n+n−306=0

(n+17)(n−16)=0

Therefore, n=16 and integers are 16 and 17.

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Answer 2

Step-by-step explanation:

(x) (x+1)=306

x^2+x=306

x^2+x-306=0

x^2+18x-17x-306=0

x(x+18)-17(x+18)=0

(x+18)(x-17)=0

x= -18 or x= +17

it is written positive consecutive integers. Hence,

x=17

x+1=18