What are two consecutive even integers whose product is 1224?

You have your choice of two pairs of consecutive even integers:
-36 and -34
OR
34 and 36 .

Answered by AL2006 | 2024-06-10

2 a , 2 a + 2 − tw o e v e n co n sec u t i v e n u mb ers 2 a ( 2 a + 2 ) = 1224 4 a 2 + 4 a − 1224 = 0 ( 2 a − 17 ) ( 2 a + 18 ) = 0 a = 34 or a = − 36 N u mb ers a re : − 36 , − 34 or 34 an d 36.

Answered by luana | 2024-06-10

The two consecutive even integers whose product is 1224 are 34 and 36, or alternatively, -34 and -32. The solution involves setting up a quadratic equation and solving for the integers using the quadratic formula. Both pairs confirm the product of 1224 through multiplication.
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Answered by AL2006 | 2024-12-26