Discovering the Number of Real Roots of a Quadratic Equation:

x^{2}+()x+2
Change the coefficients, a and b, by clicking on the + or - buttons and observe the number of x-intercepts. In each case, record the discriminant if the expression were set to 0.
If you have discovered the relationship between the value of the discriminant and the number of the real roots of the quadratic equation, please proceed to the questions on the next page.

Or, if you would like to work through your conjecture with a MATLAB GUI before you tackle the questions, download parabola1.m and parabola1.fig