Determine the values of k for which the quadratic equation x^2+kx+9=0 will have:
a) Two equal roots
b) Two distinct roots
c) No roots
I'm not sure if I am correct but I came to the answer of 6 for part a by using the discriminant to solve for k when the equation equals 0
but I am not sure how to solve the other two questions. I know that when the discriminant is equal to less than 0 there will be no roots and when it is equal to greater than 0 there will be two distinct roots, but I am not sure how to solve and express this algebraically.
Any guidance would be greatly appreciated.
a) Two equal roots
b) Two distinct roots
c) No roots
I'm not sure if I am correct but I came to the answer of 6 for part a by using the discriminant to solve for k when the equation equals 0
but I am not sure how to solve the other two questions. I know that when the discriminant is equal to less than 0 there will be no roots and when it is equal to greater than 0 there will be two distinct roots, but I am not sure how to solve and express this algebraically.
Any guidance would be greatly appreciated.