Question

The difference of the cube and the square of a natural number is 48 find the number

Answer 1

Given: The difference of the cube and the square of a natural number is 48

To find: The number?

Solution:

• Now let the number be x.

• We have given that the difference of the cube and the square of a natural number is 48.

• So:

                     x^3 - x^2 = 48

• Taking x^2 common, we get:

                     x^2(x - 1) = 48

• Now when we put x = 4, we get:

                     4^2(4-1) = 16(3) = 48

Answer:

                So the number is 4.

Answer 2

Answer:

Let the number be x

x  

3

−x  

2

=48

x  

2

(x−1)=16(3)=16(4−1)=4  

2

(4−1)

so from this, we can say that x=4

Step-by-step explanation: