Three times the square root of a number is equal to the the sum of the same number and 2 what is that number.

Question

idk what to do with square root of x

Answer 1

Hi Hunter,

 

The algebraic translation of your problem statement is

 

3√n = n + 2

 

where n is the number.

 

Let's first get rid of the square root by squaring both sides.

 

(3√n)² = (n + 2)²

 

9n = n² + 4n + 4

 

Rearranging gives:

 

n² - 5n + 4 = 0

 

(n - 4)(n - 1) = 0

 

So, there are two answers: n = 1, 4