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Math Help - Find the range of values of c

  1. #1
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    Exclamation Find the range of values of c

    How should I do this question?

    Find the range of values of c for which the line y= cx + 6 does not meet the curve 2x^2 -xy =3

    thank you!
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  2. #2
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    Re: Find the range of values of c

    Try to solve the equations simulataneously for x as you would if c was just a number. You will get a quadratic equation for x in terms of c. The solutions to the quadratic equation are the points where the 2 lines cross, if the quadratic equation has complex roots then the lines do not cross. Find the range of values of c that gives the quadratic complex roots.
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  3. #3
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    Re: Find the range of values of c

    Got it! Thanks alot!
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