Question

The sum of squares of two consecutive natural numbers is 244, find the number.​

Answer 1

Answer:

here is your answer for the question

Answer 2

Answer:

Let the two consecutive natural numbers be x and x+2

Sum of squares of these two consecutive natural numbers is 244

x 2 +(x+2) 2=244

⇒x 2 +x−6=84

⇒x 2+x 2 +4+4x=244

⇒2x 2 +4x−240=0

⇒x 2 +x−120=0

⇒x= 2a−b± b 2 −4ac

⇒x= 2−2± 2 2 −4×1×(−120)

⇒x= 2−2± 4+480

⇒x= 2−2± 484

⇒x= 2−2±22

⇒x= 2−2+222−2−22

⇒x= 220,2−24

⇒x=10,−12

But age cannot be negative so