Find two consecutive even positive integers, sum of whose squares is 290.
Since it is given that 290 is the sum of two consecutive positive even integers.
∴ Let the first even number be 2x and then the other even number will be 2x + 2.
According to the question,
∴ First even number= 2x = 2 × 5.5 = 11 and other even number = 2x + 2 = 11 + 2 =13