2TH/vwo §11.5

§5.5 Quadratic equations
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§5.5 Quadratic equations

Slide 1 - Tekstslide

In this LessonUp .....
All that you learnt up till now is repeated.
To help you doing the exercises from §11.5


Slide 2 - Tekstslide

Solving quadratic equations
You know two methods of solving quadratic equations:
- Cards:
- Factorising:  A x B = 0, then A = 0 or B = 0
When to use which method?

Slide 3 - Tekstslide

A. Solving quadratic equations with CARDS
Question 1:  Can you use cards?
(You can use cards if the equation contains only 1 variable)

Yes? Solve using cards.
No? Go to B,  for Factorising Binomials and Trinomials

Slide 4 - Tekstslide

A. 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)

Slide 5 - Tekstslide

B. Solving quadratic equations
by Factorising
Question 2: Is one side of the equation equal to 0?

Yes?  
See examples next slide. We only factorise,
soon we'll solve it too!

No? Reduce to zero

Slide 6 - Tekstslide

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). Note: the 3rd example has to be made equal to 0 first!

Slide 7 - Tekstslide

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

Slide 8 - Tekstslide

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)

Slide 9 - Tekstslide

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

Next come some examples of 
Factorising Binomials and Trinomials.

Slide 10 - Tekstslide

A x B = 0

Slide 11 - Tekstslide

A x B = 0

Slide 12 - Tekstslide

Homework
Make, correct and send in:        §11.5
You may skip:
- 34
-  35d,e,f
- 37 e,f,g,h

Slide 13 - Tekstslide