Question

Choose the most appropriate option:

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

पर्याय

• 16 and 18

• 12 and 14

• 22 and 24

• 20 and 22

Answer 1

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