Question

sum of the squares of 2 consecutive natural odd numbers is 394. Find the numbers​

Answer 1

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