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Question
Choose the most appropriate option:
Two consecutive even positive integers, sum of the squares of whichis 1060 are:
Options
16 and 18
12 and 14
22 and 24
20 and 22
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Solution
22 and 24
Explanation:
Let two consecutive even number be x and x + 2
According to the question,
x2 +(x+2)2 = 1060
2x2 + 4x + 4 = 1060
2x2 + 4x − 1056 = 0
x2 + 2x − 528 = 0
By solving
x = 22 and x + 2 = 24
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