Question

the sum of squre of two consecutive even natural number is 52 find out two number

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

4, 6

Step-by-step explanation: Let the two consecutive natural numbers be x and x+2.

x² + (x+2)² = 52.......(given)

x² + x² + 4x + 4 = 52  

2x² + 4x = 48    

x² + 2x - 24 = 0    

(by factorising)

x² + 6x - 4x - 24 = 0

x(x+6) - 4(x+6) = 0

(x+6) (x-4) = 0

x + 6 = 0    or         x - 4 = 0

x = -6         or         x = 4        

Since x is a natural number.

therefore x cannot be equal to -6

therefore x is equal to 4.

Hence the two numbers are 4 and 6.