Question

2. The sum of squares of two consecutive natural numbers is 244: find the number
please

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Answer 1

Step-by-step explanation:

Let the no. be x , (x + 2)

x² + (x + 2)² = 244

=> X² + x² + 4 + 4x = 244

=> 2x² + 4x - 240= 0

=> X² + 2x - 120 = 0

=> X² + 12x - 10x - 120 = 0

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

=> (X - 10)(x + 12)

=> X = 10 , -12

Non be 10 , (10 + 2) = 12