Mathematics 3 ESO – Unit 6 EQUATIONS extra activities
1 – Watch the video on “The Quadratic Formula” and answer:
- a) In this example, what variable are we “solving for”?
- b) Why do we say that, in this example, a = 1 ?
- c) Why do we say that, in this example, b = -3 ?
- d) What do we do with the values of a, b and c?
- e) How many solutions are there? Why?
2 – Watch the video on “Discriminant to Find Number of Solutions” and answer:
- a) What is the “discriminant”?
- b) What will be the solutions if the discriminant is positive and is a perfect square?
- c) What will be the solutions if the discriminant is positive but it isn’t a perfect square?
- d) What will be the solution if the discriminant is 0? Why?
- e) What will be the solutions if the discriminant is negative? Why?
- F) Solving the discriminant, find what type of solution/s:
- x2 + x – 5 = 0
- x2 + 2x + 5 = 0
- 2x2 + 4x + 2 = 0