Question

Enpress the square of each of
nunbers as
a sum of two
Consecutive natural number.
(1); 17, (2);21​

Answer 1

Answer:(1) 144+145=17²

              (2)220+221= 21²

Step-by-step explanation:

1- Square of 17 = 17 x 17 = 289

 Let the number be x

(x) + (x+1)= 289

2x + 1 = 289

2x = 289- 1

2x = 288

x =  288/2

  =144

Therefore the numbers are, (x) & (x+1)= 144 & 145

Therefore 144+145=17²

2- Square of 21= 21 x 21 = 441

 Let the number be x

(x) + (x+1)= 441

2x + 1 = 441

2x = 441- 1

2x = 440

x =  440/2

  =220

Therefore the numbers are, (x) & (x+1)=  220 & 221

Therefore 220+221= 21²