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Find two consecutive positive integers s...

Find two consecutive positive integers sum of whose squares is 365.

Text Solution

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Let two consecutive positive integers be `x and x+1`
`" " therefore x^(2) + (x+1)^(2) = 365`
`rArr x^(2) + x- 182=0`
`" " (x + 14) (x - 13)=0`
`" " therefore x = 13`
Hence two consecutive positive integers are 13 and 14
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Knowledge Check

  • The two consecutive positive odd integers, the sum of whose squares is 130 are

    A
    7,9
    B
    9,6
    C
    `3,-5`
    D
    None of these

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