Question

The sum of square
of two consecutive
natural number is 3/3. Find the number​

Answer 1

Answer:

Let the two consecutive natural numbers be x and x+1

Then x

2

+(x+1)

2

=313

⇒x

2

+x

2

+2x+1−313=0

⇒2x

2

+2x−312=0

⇒x

2

+x−156=0

⇒x

2

+13x−12x−156=0

⇒x(x+13)−12(x+13)=0

⇒x+13=0 or x−12=0

⇒x=−13 or 12

Since x being a natural number, cannot be negative.

∴x=12

Hence the two consecutive natural numbers are 12 and 13