math

Determine the value of k in y=kx^2-5x+2 that will result in the intersection of the line y=-3x+4 with the quadratic at
a) two points (1 mark)
b) one points (1 mark)
c) no point (1 mark)

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asked by Alex
  1. you have the line intersecting when

    kx^2-5x+2 = -3x+4
    kx^2-2x-2 = 0

    Now recall the discriminant, d=b^2-4ac
    If d>0 there are two roots
    If d=0, there is one root
    If d<0 there are no real roots.

    The discriminant of your equation is

    4+8k

    I expect you can determine when that is negative, zero, or positive.

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    posted by Steve

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