Question

Determine the values of k for which the quadratic equation x^2+kx+9-o will have a) two equal real roots, b) two distinct real roots.

Answer 1

(a) two equal real roots if \[k^{2}-4(1)*(9)=0\]
or k=+6, -6

Answer 2

(b) two distinct real roots if \[k^{2}-4(1)(9)>0\]
the range of values are \[k>6 or k<-6\]

Answer 3

Thank you!