1819 C2X §11.5

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 2

Which exercises should we discuss on the board?

Solving quadratic equations

You know two methods of solving quadratic equations:

- Cards

- A x B = 0, then A = 0 or B = 0

When should you use each method?

Solving quadratic equations

1. Can you use cards?

(You can use cards if the equation contains only 1 variable)

Yes? Solve using cards.

No? Go to step 2.

Solving quadratic equations with cards

Use the balance method (add/subtract the same amount, divide/multiply by the same number , take the square root on both sides of the equal sign, don't forget the second solution)

Solving quadratic equations

2. Is one side of the equation equal to 0?

Yes? Go to step 3.

No? Reduce to zero

Reduce to zero

Use the balance method (add/subtract the same term on both sides of the equal sign).

Solving quadratic equations

3. Is the equation already in the form A x B = 0?

Yes? Go to step 4

No? Factorise the binomial or trinomial.

Factorise binomial

Find the largest common factor and place in front of a set of single brackets, fill in the remaining factors inside the brackets.

(See §11.2)

Factorise trinomial

Find two numbers that have the number in front of x as a sum and the single numbers as a product. Write as (x + ...)(x + ...).

(See §11.3)

Solving quadratic equation

4. Use the rule: if A x B = 0, then A = 0 or B =0

A x B = 0

A x B = 0

HW Friday

Make and correct §11.5