Question

The sum of square two consecutive odd numbers is 394 . Find them

Answer 1

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Answer 2

Answer:

Let the numbers be x and (x + 2)

• According to the Question :

⇒ x² + (x + 2)² = 394

⇒ x² + x² + 4x + 4 = 394

⇒ 2x² + 4x - 390 = 0

⇒ x² + 2x - 195 = 0

⇒ x² + 15x - 13x - 195 = 0

⇒ (x + 15)(x - 13) = 0

⇒ x = 13

• Required Numbers :

◗ x = 13

◗ (x + 2) = 13 + 2 = 15