Math, asked by hillsdazzel, 1 month ago

If the difference between squares of two consecutive even positive integers is 100, find the integers​

Answers

Answered by naren96
0

Let the two consecutive positive even numbers be x and (x+2)

According to the problem,

x  

2

+(x+2)  

2

=100

or, 2x  

2

+4x+4=100

or, x  

2

+2x−48=0

or, (x+8)(x−6)=0

∵x>0 this gives, x=6

So, the numbers are 6 & (6+2)=8.

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