Discriminant → Decision → Solution
Calculate the discriminant: $ \Delta = b^2 - 4ac $
Based on $\Delta =$ ..., which method should we use?
🎯 Estimation Mission!
Click on the graph where you think the roots are. (Guesses: 0/2)
Create the factorised version:
1. Split the middle term ($bx$)
2. Final Factors
Using: $ x = \frac{-b \pm \sqrt{\Delta}}{2a} $
Enter final values (2 decimal places):
Understanding the discriminant helps visualize the nature of roots in polynomial functions.
"If $ \Delta $ is a perfect square (0, 1, 4, 9, 16...), you can factorise. If not, use the formula!"