Algebra I: Determine number of solutions of a quadratic from its equation
 This is a free lesson from our course in Algebra I

 In this you'll learn how to determine number of solutions of a quadratic equation. For a given general quadratic equation y = ax2 + bx + c, the number and type of roots can be determined by graphing it on the cartesian plane. If you do that, the x-intercepts will be the solutions or roots of the equation. If the graph intersects the x-axis only at one point, then the roots are real and equal, and the quadratic equation has only one solution.If the graph intersects the x-axis at two points, then the roots are real and distinct, and the quadratic equation has two solutions. If the does not intersect y-axis at all, then the roots are imaginary.
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