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Find two consecutive odd positive intege...

Find two consecutive odd positive integers, sum of whose squares is 290.

A

`11, 13`

B

`12, 14`

C

`15, 18`

D

None of these

Text Solution

Verified by Experts

let first odd positive integer be`x`
let the next integer be`x+2`
acc to question
`x^2 + (x+2)^2 = 290`
`x^2 + x^2 + 4 +4x=290`
`2x^2 + 4x -286=0`
`x^2 +2x-143=0`
`x^2 +13x-11x -143=0`
...
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