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Two Consecutive Even Positive Integers, Sum of the Squares of Whichis 1060 Are - Mathematics

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प्रश्न

Choose the most appropriate option:

Two consecutive even positive integers, sum of the squares of whichis 1060 are:

विकल्प

  • 16 and 18

  • 12 and 14

  • 22 and 24

  • 20 and 22

MCQ

उत्तर

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

shaalaa.com
Number System (Entrance Exam)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2015-2016 (May) Set 1
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