The sum of Squares of two
consecutive even number
is 224 Find the number
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Answer:
Hello dear...
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
∴Number be 10 , (10 + 2) = 12
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