Solving Quadratic Equations by Inspection

This lesson teaches how to solve quadratic equations by inspection. It begins with a review of perfect squares and the multiplication of square roots, highlighting common mistakes. The lesson then provides examples of solving quadratic equations, including those with perfect squares, non-perfect squares, and cases with no real solutions. Graphical interpretations of solutions are also discussed.

What are perfect squares and can you provide examples?

Explain the mistake related to the square of an integer and its opposite.

How do you solve the equation X^2 = 25 and what are the solutions?

What does it mean graphically when you solve X^2 = 15?

Why does the equation X^2 = -36 have no solutions?