SOLUTION: Find the smallest integer value of k such that kx^2-2x+5=0 has imaginary roots.

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Question 369520: Find the smallest integer value of k such that kx^2-2x+5=0 has imaginary roots.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the discriminant,
D=b%5E2-4ac
D=%28-2%29%5E2-4%28k%29%285%29
THe roots are complex when D%3C0
4-20k%3C0
20k%3E4
k%3E4%2F20
k%3E1%2F5
The smallest integer would then be
highlight%28k=1%29
.
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