I'm a junior in high school. I'm taking Pre-Calculus 11 online and I'm struggling with this question.
For what values of k does 3x2- kx + 2 have two equal real roots?
I've started using b2 - 4ac, but I don't know where to go from there or if that's even the best way to approach this question.
For 3x2 - kx + 2, a=3, b=k, c=2.
I know that for a quadratic equation to have 2 equal roots, b2 - 4ac = 0.
k2 - 4(3)(2) = b2 - 4ac
k2 - 4(3)(2) = 0
k2 -24 = 0
k2 = 24
k = √24
I don't know how to continue on from there. I would appreciate all the help I can get!
For what values of k does 3x2- kx + 2 have two equal real roots?
I've started using b2 - 4ac, but I don't know where to go from there or if that's even the best way to approach this question.
For 3x2 - kx + 2, a=3, b=k, c=2.
I know that for a quadratic equation to have 2 equal roots, b2 - 4ac = 0.
k2 - 4(3)(2) = b2 - 4ac
k2 - 4(3)(2) = 0
k2 -24 = 0
k2 = 24
k = √24
I don't know how to continue on from there. I would appreciate all the help I can get!