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

Algebra ->  Quadratic Equations and Parabolas -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
OK
Using the quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
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