Question

Find the numbers if the sum of the squares of two consecutive natural numbers is 244

Answer 1

Mark it brainlist please

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

One 12 and other 10