Question

the sum of the squares of two consecutive odd numbers is 394 find the numbers

Answer 1

Step-by-step explanation:

x^2+(x+1)^2=394.

hope it helps you

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 sum = 13 + 15 = 28