Find two consecutive positive even integ...

Find two consecutive positive even integers, the sum of whose squares is 340.

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The correct Answer is:

`therefore` The two consecutive positive even integers are `2 lamda=2(6)=12 and 2lamda+2=12+2=14`.

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Explore conceptually related problems

i) Find the two consecutive positive even integers, the sum of whose square is 340. ii) Prove that there is a unique pair of consecutive odd positive integers such that sum of their squares is 290 find them. iii) Find all the numbers which exceeds their square root by 12. iv) Find the quadratic equation for which sum of the roots is 1 and sum of the squares of the roots is 13.

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

Knowledge Check

The two consecutive positive odd integers such that the sum of their squares is 290 are

A

`5,7`

B

`9,11`

C

`11,13`

D

`15,17`

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