2Tvwo §5.5 Quadratic equations - the start

§ 5.5 Quadratic equations
Time for a whole lotta math!

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Slide 1: Tekstslide
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§ 5.5 Quadratic equations
Time for a whole lotta math!

Slide 1 - Tekstslide

Slide 2 - Tekstslide

Note how smoothly we will go from
- graphs with their points of intersection to
- quadratic equations and 
- how to solve them!

Slide 3 - Tekstslide

This exercise we will do now.
So OPEN your NOTEBOOK and take a PEN.

Slide 4 - Tekstslide

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Slide 5 - Tekstslide

The answer:

Slide 6 - Tekstslide

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Slide 7 - Tekstslide

The answer is:

Slide 8 - Tekstslide

Realise that we now talk about the
point(s) that lie on the x axis!
Only there it is true that:

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x2=0

Slide 9 - Tekstslide

The answer is:


That solution is:  x = 0

Slide 10 - Tekstslide

Realise that we talk about 
point(s) at the height of -1,
so 1 grid below the x axis!
Is the graph that low?!
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Slide 11 - Tekstslide

Slide 12 - Tekstslide

You cannot see y = 25 on the vertical
axis, because it only goes up to 5.
Still you can answer this question!
Because the formula    (                      )
 helps you out!
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x2=25

Slide 13 - Tekstslide

The answer is:


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Slide 14 - Tekstslide

Slide 15 - Tekstslide

Solving quadratic equations
In year 1 you learned how to solve LINEAR equations using cards.




You can also solve QUADRATIC equations with cards!

Slide 16 - Tekstslide

Solving (quadratic) equations
1) Place a card on the term that contains the variable
2) Work out what should be written on the card
3) Repeat if needed, until you find the value of the variable

Quadratic equations often have 2 solutions, or sometimes there is no solution!

Slide 17 - Tekstslide

Solving quadratic equations

Slide 18 - Tekstslide

Solving (quadratic) equations





Solutions should always be exact!
(Not rounded off )

Slide 19 - Tekstslide

Solving (quadratic) equations

Slide 20 - Tekstslide

Homework time
Do §5.5 Quadratic equations:  32 t/m 35 only!
The point is that it is important that you practise
what you've learnt in this LessonUp in a good way.
The rest of the paragraph comes next lesson!

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Slide 21 - Tekstslide