Question

Find the value of k for which the quadratic equation 3x^2+2x+k=0 has two equal roots
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Answer 1

Answer:

k = 1/3

Step-by-step explanation:

For a quadratic wquation to have 2 equal roots, its Discriminate (b^2 - 4ac) needs to be 0.

Here, b = 2, a = 3, c = k

Hence, b^2 - 4ac = 0

=> 2^2 - 4*3*k = 0

=> 4 - 12k = 0

=> k = 4/12 = 1/3(Ans.)