if the line x-y=4k+2 does not meet the curve y=k(x+1)(x-3), find the range of values of k. someone please help me step by steps..
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Originally Posted by mastermin346 if the line x-y=4k+2 does not meet the curve y=k(x+1)(x-3), find the range of values of k. someone please help me step by steps.. First note that the first equation can be written as . Now, if the two equations do not intersect, then you have to solve for .
In other words try to solve x- 4k- 2= k(x+1)(x-3). For what values of k does that quadratic equation not have a solution?
Originally Posted by HallsofIvy In other words try to solve x- 4k- 2= k(x+1)(x-3). For what values of k does that quadratic equation not have a solution? If you need another hint: rearrange the above equation to form a quadratic of the form . For there to be no solution, the discriminant must be less than 0. That is, you are looking for the values of k such that
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