Question

the sum of square of two consecutive natural number is 244 find the number​

Answer 1

Step-by-step explanation:

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+22

,

2

−2−22

⇒x=

2

20

,

2

−24

⇒x=10,−12

But age cannot be negative so,

The two numbers are 10 and 10+2=12.

Answer 2

Answer:

Hope It Helps