Enpress the square of each ofnunbers asa sum of twoConsecutive natural

1.	Enpress the square of each ofnunbers asa sum of twoConsecutive natural number.(1); 17, (2);21
Answer» 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

Enpress the square of each ofnunbers asa sum of twoConsecutive natural number.(1); 17, (2);21

Answer»

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