SOLUTION: I really need some help for this problems because I have been confuse of this problems since the start and now the Examination is coming near and this is going to be added, I reall

Find the discriminant 

To have equal roots the discriminant must equal 0, so






To check, we substitute  for  in



Multiply through by 12 to clear of fractions:







; 
  ; 
 ; 

So the roots are equal. 

----------------------------------- 

Then it will have to be true that we also get zero when we 
substitute  for :




And since we started with 
We can set the left sides equal:







Divide thru by 2



Factor out x



;  
           

So the value of k that will cause the
roots to be numerically equal but opposite
in sign.

Check by substituting -5 for k and solve:








 and  are numerically 
equal but opposite in sign.

That is when the discriminant is positive

Find the discriminant 

"Positive" means the same as "greater than 0"

So we set 

Divide through by 9



Since  is never negative the left side will always
positive no matter what value of k we use, so all values of 
k will yield real and unequal roots.

So 

Find the discriminant 

To have equal roots the discriminant must equal 0, so



Divide thru by 4











Using the , 

Using the , 

Edwin