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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