Math, asked by aashikashah01, 1 year ago

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

Answers

Answered by Steph0303
13
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 !!
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