Examine how the discriminant reveals the number of real solutions in a quadratic equation.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
What does the graph of a quadratic look like with 2 real solutions? 1 real solution? No real solutions?
What value(s) of the discriminant result in 2 real solutions? 1 real solution? No real solutions?
Write a quadratic equation with a discriminant of [math]0[/math].
The discriminant of the equation [math]-x^2+2x+2=0[/math] is [math]4[/math]. [br]Is this correct? If not, calculate the discriminant of this equation.