SOLUTION: state all the values of k that would make the following have imaginary roots: x^2-9x+k=0 please show work

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Question 253350: state all the values of k that would make the following have imaginary roots: x^2-9x+k=0
please show work
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
The given equation is
x^2-9x+k = 0
Its roots will be imaginary if b^2-4ac<0
(-9)^2-4*1*k<0
81<4k
4k>81
k>81/4