Roots of Quadratic Equation and its nature?

Question

For what value of k will 3x^2 + 5x + k = 0 have Equal roots?

For Equal roots discriminant should be equal to zero. So what would be the value of k?

"For Equal roots discriminant should be equal to zero. " Ok good. And then...? — Sandeep Silwal, Jun 10 '14 at 01:08
The discriminant is $b^2-4ac$. What are $a$, $b$ and $c$ here? — StumpyLeg, Jun 10 '14 at 01:09
You have the quadratic equation and you know that discriminant should be equal to zero. So the question is now, what is the discriminant? — BlackAdder, Jun 10 '14 at 01:10

score 1 · Answer 1 · answered Jun 10 '14 at 01:12

1

$$D=b^2-4ac=25-12k$$ now $D=0$ if and only if $k=\frac{25}{12}$.

answered Jun 10 '14 at 01:12

Rene Schipperus

1 Answers1