SOLUTION: For what values of k does the equation 3x^2-2x+k=0 have imaginary roots?
1. k is less than 1/3
2.k is greater than 1/3
3. k is less than 0
4. k is greater than 0
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Question 381064: For what values of k does the equation 3x^2-2x+k=0 have imaginary roots?
1. k is less than 1/3
2.k is greater than 1/3
3. k is less than 0
4. k is greater than 0
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
OK
Using the quadratic formula:
Now when b^2-4ac<0, the quadratic will have imaginary roots, so:
(-2)^2-4*3*k<0
4-12k<0
-12k<-4 0r
12k>4
k>1/3
Hope this helps---ptaylor
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