SOLUTION: What should be the range of the value of k so that the equation 2x2+3kx-9=0 will have real and unequal roots? What should be the value of k so that the equation x2+(k-2)x+4=0 will

Question 549684: What should be the range of the value of k so that the equation 2x2+3kx-9=0 will have real and unequal roots?
What should be the value of k so that the equation x2+(k-2)x+4=0 will have equal roots?
Find the range of the value of k so that the equation kx2+4squareroot of 3x+k=0 will have imaginary roots.

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The discriminant for is

The equation will have real and unequal roots when
which happens for all real values of k.
The discriminant for is

The equation will have equal roots when
<--> which happens for and
Was the third equation ?
The discriminant for is

The equation will have imaginary roots when
, which happens for
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