Question

Write odd numbers as the sum of two consecutive positive integers of 9 square

Answer 1

Step-by-step explanation:

Let the two consecutive positive odd numbers be a and a+2

Given:a

2

+(a+2)

2

=802

⇒a

2

+a

2

+4a+4−802=0

⇒2a

2

+4a−798=0

⇒a

2

+2a−399=0

⇒a

2

+21a−19a−399=0

⇒(a+21)(a−19)=0

⇒a=−21 or a=19 since a cannot be negative

∴a=19

∴ the numbers are 19 and 21