I need to help solving this equation please.

Question

I need help solving these equations please. Please include the steps for me.

 

1.  x^2 - 25 / 2 

 

2. 37 / k^2-k-30

Answer 1

As written, these are not equations since they are not set equal to anything.  

 

I'm guessing that in the 1st case you want to solve (x^2-25) / 2 = 0.  

In this case you would multiply both sides by 2 to get x^2 - 25 = 0 

and then factor to get (x-5) * (x+5) = 0, which tells you that x has to equal +5 or -5.  

 

The quantity you have written for the 2nd case is never equal to 0, so I'm guessing that you want to find the values of k which make the denominator equal to 0 (these are called the vertical asymptotes if you're drawing a graph of the function).  So set k^2 - k - 30 = 0 and factor to get 

(k-6) * (k+5) = 0, which tells you that your quantity is undefined if k = 6 or k = -5.