SOLUTION: Dear Sir/Madam, Good day! Kindly help me with this problem, I sent almost the same problem but committed an error of tying the wrong value. Here it goes... Find the value of k

Question 767460: Dear Sir/Madam,
Good day! Kindly help me with this problem, I sent almost the same problem but committed an error of tying the wrong value. Here it goes...
Find the value of k so that the equation 3x^2-4kx+k =0 will have real roots. Thank you very much for your help!
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
Find the value of k so that the equation will have real roots
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A:
The quadratic equation have real roots if the discriminant is greater than or equal to zero.
In , a = 3, b = -4k and c = k.
The discriminant is equal to = .
≥ 0
4k(4k - 3) ≥ 0
Using sign test
k ≤ 0 OR k ≥ 3/4
In interval notation: (-∞, 0] ∪ [ , ∞)
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