Quadratic Discriminant

Quadratic Discriminant Warmup


If a=2,b=4, and c=1,a = 2, b = 4, \text{ and } c = 1, what is the value of b24ac?b^2 - 4ac?

If a=2,b=3, and c=1,a = -2, b = 3, \text{ and } c = -1, what is the value of b24ac?b^2 - 4ac?

When solving with the quadratic formula, Scott gets 1628\sqrt{16 - 28} as part of his solution. The solutions will be:

A quadratic equation has a positive discriminant when set equal to zero. How many xx-intercepts will the graph have?

What could be the value of bb so that a quadratic equation with a discriminant of b24(1)(2)b^2 - 4(1)(2) has two real solutions?


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