Question

(1) If the product of two positive consecutive even integers is 288, find the integers.
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Answer 1

Answer:

16,18

Step-by-step explanation:

Let the two consecutive positive integer be x and x+2

According to the given condition,

X(x+2)=288

X^2+2x-288=0

x^2+18x-16x-288=0

x(x+18)-16(x+18)=0

(x+18)(x-16)=0

x+18=0 or x-16=0

x=-18 or x=16

Since the integers are positive

We wil take x=16

Therefore another positive integer will be 16+2=18

Hence the positive integers are 16 and 18