Algebra
Quadratic Discriminant
If \(a = 2, b = 4, \text{ and } c = 1,\) what is the value of \(b^2 - 4ac?\)
If \(a = -2, b = 3, \text{ and } c = -1,\) what is the value of \(b^2 - 4ac?\)
When solving with the quadratic formula, Scott gets \(\sqrt{16 - 28}\) as part of his solution. The solutions will be:
A quadratic equation has a positive discriminant when set equal to zero. How many \(x\)-intercepts will the graph have?
What could be the value of \(b\) so that a quadratic equation with a discriminant of \(b^2 - 4(1)(2)\) has two real solutions?