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