Solution assignment 06 Quadratic functions and graphs

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Assignment 6

For which value of p does the parabola:

y=px^2-3x+1

have no intersection points with the X-axis?

Solution

The parabola has no intersection points with the X-axis if the discriminant is less than 0:

D=9-4p<0

p>\displaystyle\frac{9}{4}

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