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​

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Adalynn 6 days 2021-11-25T03:26:08+00:00 1 Answer 0 views 0

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    2021-11-25T03:27:44+00:00

    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

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