Question

Three consecutive whole numbers are such that the square of the middle number is greater than the product of the other two by 1. find the middle number.​

Answer 1

Step-by-step explanation:

Let the three consecutive numbers be x,x+1 and x+2.

middle number = X+1

given,

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

x^2+x+1 = x^2 + 2x +1

x = 0

Middle number = x+1

= 1