Solving Quadratic Equations by Inspection

The video tutorial explains how to solve quadratic equations by inspection, starting with a review of perfect squares. It highlights that perfect squares have both positive and negative factors that multiply to the same number. The tutorial then demonstrates solving quadratic equations by inspection, using examples like X^2 = 49 and X^2 = 100, showing that both positive and negative roots are solutions. It also explains why some equations, like X^2 = -100, have no solutions. The video concludes with a graphical interpretation of quadratic solutions as points where the parabola crosses the x-axis.

How does the graph of a quadratic relate to its solutions?

What happens when you try to solve the equation X^2 = -100?