sum of the squares of 2 consecutive natural odd numbers is 394. Find the numbers Question sum of the squares of 2 consecutive natural odd numbers is 394. Find the numbers in progress 0 Math Adalynn 6 days 2021-11-25T03:26:08+00:00 2021-11-25T03:26:08+00:00 1 Answer 0 views 0

## Answers ( )

Answer:Let the odd natural number be ‘x’ so

Hence the consecutive odd natural number will be ‘x+2’

Hence the equation would be,

x^2+x^2+4x+4=394

2x^2+4x-390=0

By Splitting the middle term we get,

2x^2-26x+30x-390=0

2x(x-13) +30(x-13)=0

(2x+30) (x-13) =0

Hence,

x=-30/2 or 13

Since it is given that ‘x’ is a natural number

x=13

x+2=15

Hence the two consecutive odd natural numbers are 13 and 15