Quadratic function

It is given a quadratic function y = -4x2+5x+c with unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.

Correct result:

c =  0

Solution:

D=b24ac>0 b24a>c 524(4)>c 1.5625>c;cmin c=0

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