Question

The sum of three consecutive numbers is 132. Find the square of the largest number.

Answer 1

2025 is the answer to this question.

Answer 2

Answer:

let number be x and its positive square root be

√x

x + root of x = 132

root of x can be written as,

x/x2

= x+ (x/x2)

= (x3 + x) / x2

= x(x2 + 1) / x2

= (x2 + 1) / x

132 = (x2+1) / x

132x = x2 + 1

x2 - 132x + 1 = 0