Question

guys help..
the product of two consecutive EVEN integers is 728. what re the numbers?

Answer 1

Hi mate !!

Here's the answer !!

Let the consecutive numbers be x and x + 2

So it is given that,

= ( x ) ( x + 2 ) = 728

= x² + 2x = 728 = 0

=> x² + 2x - 728 = 0

=> x² + 28x - 26x - 728 = 0

=> x ( x + 28 ) -26 ( x + 28 ) = 0

=> ( x - 26 ) ( x + 28 ) = 0

=> x = 26 , - 28

So the two numbers are 26 and 28 or - 28 or  - 26.

Hope my answer helps !!

Cheers !!