Question

i) The sum of the squares of two consecutive even natural numbers is 244. Find the numbers.​

Answer 1

Step-by-step explanation:

The answer is 10 and 12

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Answer 2

Answer: The numbers are 10 and 12

Step-by-step explanation:

x² + (x+2)² = 244

x² + x² + 4 + 4x = 244

2x² + 4x + 4 = 244

Dividing by 2 on both the sides we get,

x² + 2x + 2 = 122

x² + 2x - 120 = 0

x² + 12x - 10x - 120 = 0

x(x +12) - 10(x + 12 ) = 0

(x-10)(x+12) = 0

x = 10 , x ≠ -12

So x = 10

And x + 2 = 12