Question

If a natural number is multiplied by 54, and then divided by 18, we get 18 less than the square of that number. The value of the cube of that number is​

Answer 1

Answer:

216

Step-by-step explanation:

Let the required number be x

54x/18 = x^2 - 18

3x = x^2 -18

so, x^2 - 3x - 18 = 0

Factorization,

x^2 - 6x + 3x - 18 = 0

(x - 6) (x + 3) = 0

So required Natural number is 6

and its cube is 216.