Algbrea 2 Math

Question

9n^2-1=0

 

 

n=

Answer 1

9n^2 -1 = 0

1.  First add 1 to both sides giving                               9n^2 = 1

2.  Then divide both sides by the coefficient 9 giving     n^2 = 1/9

3.  Now take the square root of both sides giving          n = sqrt(1/9)    or    n = (1/9)^(1/2)

4.  The square root of 1/9 is 1/3....

     However, remember that a negative number squared will be positive -1/3 is also correct

 

Thus   n = 1/3 , -1/3

 

Note:  the simplest way to look at that is when faced with a problem in the form  x^2 = y  then  x = +- sqrt(y)

Answer 2

9n^2-1=0

this is the difference of two squares

(3n-1)(3n+1)=0

3n-1=0

3n=1

n=1/3

3n+1=0

3n=-1

n=-1/3

 

Answer 3

9n²-1=0

 

first step is to add 1 to each side

 

9n²=1

 

then divide each side by 9

 

n²=(1/9)

 

now you must take the square root of each side

 

n=(1/3)

 

 

I hope you are able to follow these steps, let me know if you have any questions.