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?

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF

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

Evaluate responses using AI:

OFF