14.4B completing the square

14.4B completing the square
You need your notebook and Ipad
1 / 11
volgende
Slide 1: Tekstslide
WiskundeMiddelbare schoolvmbo lwoo, havoLeerjaar 3

In deze les zitten 11 slides, met tekstslides.

Onderdelen in deze les

14.4B completing the square
You need your notebook and Ipad

Slide 1 - Tekstslide

Solving quadratic equations
x2+13x+36=0

Slide 2 - Tekstslide

Solving quadratic equations
(x+5)2=0

Slide 3 - Tekstslide

Solving quadratic equations
(4x20)2=0

Slide 4 - Tekstslide

Solving quadratic equations
(x+8)2=100

Slide 5 - Tekstslide

Solving quadratic equations
(x+8)2=
(x+9)2=
(x+10)2=

Slide 6 - Tekstslide

Solving quadratic equations
x2+14x+50=

Slide 7 - Tekstslide

Note 14.4B: Completing the square
You can solve every quadratic equation of the form: 
by completing the square.
First step: Changing                                           to
Second step: solving the equation

x2+bx+c=0
x2+bx+c=0
(x+2b)2+c(2b)2=0

Slide 8 - Tekstslide

Note 14.4B: Completing the square
Example: Solve:
First step: 

Solving the equation:




                                                                               or 
                                                                               or
x2+18x+17=0
(x+218)2+17(218)2=0
(x+9)2+1792=0
(x+9)2+1781=0
(x+9)264=0
(x+9)2=64
x+9=8
x+9=8
x=1
x=17

Slide 9 - Tekstslide

Solve by completing the square
x2+12x13=0

Slide 10 - Tekstslide

Bettermarks
  • Work on 14.4B
  • Raise your finger if you have any questions or when you're finished

Slide 11 - Tekstslide