SOLUTION: Find the range of values of K for which the line {{{y+kx+9=0}}} does not intersect the curve {{{y=(x)^(2)-2x}}} *Please answer as soon as possible bro =)

SOLUTION: Find the range of values of K for which the line {{{y+kx+9=0}}} does not intersect the curve {{{y=(x)^(2)-2x}}} *Please answer as soon as possible bro =)

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Question 465569: Find the range of values of K for which the line does not intersect the curve
*Please answer as soon as possible bro =)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
You have to have
<==>
For non-intersection, the discriminant should be < 0.
Whence
==>
<==> (k-8)(k + 4) < 0 ==> the solution set is the interval (-4,8)
Hence as long as k, the line and the parabola won't intersect.
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