Question

the square of a natural number n is equal to 4 times the previous number. which one of the following equations correctly describes the situation?
a) n² - 4n - 4 = 0
b) n² + 4n + 4 = 0
c) n² + 4n - 4 = 0
d) n² - 4n + 4 = 0

Answer 1

Let the natural number be 'n'.

So accordingly:

n²  =  4(n-1)

n² = 4n - 4

or

n² - 4n + 4 = 0.

So the answer is option d.

Answer 2

Solutions 

Let the variable 'n' represent natural number .

Solve

n²  =  4(n-1)

n² = 4n - 4

=

n² - 4n + 4 = 0.

The correct option would be (D)