Find two consecutive even positive integers whose product is 624.

Question

Mathematics

Alexis Sloan

27 February, 21:03

Find two consecutive even positive integers whose product is 624.

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Answers (1)

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Payton Spears · Answer 1

Let x=first even number then x+2 would be the next even number. (x) (x+2) = 624. x^2 + 2x=624. x^2 + 2x - 624=0. Factor or use the quadratic formula. (x+26) (x-24) = 0 x=-26 or x=24 We want the positive solution so x=24 and x+2=26 24*26=624 so it works.

A square root can start us ...

625 = 25 x 25 = => 24 x 26 will do it!