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WiskundeMiddelbare schoolvwoLeerjaar 3

This lesson contains 27 slides, with interactive quizzes and text slides.

## Items in this lesson

#### Slide 1 -Slide

Goal:

How to solve an(y) equation of the form
ax2+bx+c=0
(or determine there are no solutions.)

#### Slide 2 -Slide

a=0
ax2+bx+c=0
That's a linear equation ...

b=0
ax2+bx+c=0

Solve
x29=0

Solve
x2+9=0

2 solutions
1 solution
no solutions

c=0
ax2+bx+c=0

Solve
x29x=0

Solve
x2+9x=0

a0b0c0
ax2+bx+c=0

solve

x2+6x16=0

#### Slide 12 -Open question

Can you solve the equation in one go?

Solve
(x+2)2=9

Solve
(x+2)(2x5)=0

#### Slide 15 -Open question

Multiply out brackets
Don't multiply out brackets

#### Slide 16 -Drag question

(If they don't have obvious solutions.)

#### Slide 17 -Slide

Steps:
1. Multiply out brackets

2. Write in form

3. Write in form

4. Determine which solution method you need
ax2+bx+c=0
x2+abx+ac=0

#### Slide 18 -Slide

b=0
c=0
a,b,c =/= 0
=/= means not equal

#### Slide 19 -Drag question

6x2+36x96=0
x2=c
A
x2=c
B
factorising
C
D
Completing the square

Solve:
6x2+36x96=0

#### Slide 21 -Open question

Explain when we use the ABC formula

#### Slide 22 -Open question

Solve the equation:
8x2+2x1=0

#### Slide 23 -Open question

De abc-formule
• ax2 + bx + c = 0
• a=... b=... c=...
• Discriminant:
D= (b)2 - 4*a*c

Voorbeeld
• 8x2 + 2x - 1 =0
• a=8, b=2, c=-1
• Discriminant
D= (2)2 -4*8*-1
• D= 4 + 32 = 36

#### Slide 24 -Slide

Solve the equation:
9x4=5x2

#### Slide 25 -Open question

Solve the equation:
6x2+x=2

#### Slide 26 -Open question

Solve using the abc-formula:

4x+30x26=0