Question

write 75 as difference of the square of two consecutive natural numbers​

Answer 1

The above given solution is in proper format accordingly. Hope it'll help!

Answer 2

Answer:

let the two natural consecutive numbers be :

(x) & (x+1)

So,

(x+1)^2 - (x)^2 = 75

(x^2 +1 +2x) - (x)^2 = 75

x^2 - 1 - 2x - (x^2) = 75

-1 - 2x = 75

-2x = 75+1

-2x = 76

x = -76/2

x = -38

Verification:

(x+1)^2 -(x)^2 = 75

(- 38+1)^2 - (38)^2 = 75

(- 37)^2 - (38)^2 = 75

(1369) - (1444) = 75

75 = 75