Sum of squares of 2 consecutive natural even numbers is 244; find the numbers.
Answers
Answered by
10
Answer:
10 and 12
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
No be 10 , (10 + 2) = 12
Similar questions