# Generating Equations jko

Goodmorning! Please enter this lesson by using the code in the left-hand corner.
Aim of this lesson:
• Learn how to find the intersection points of a linear and a quadratic equation
• Learn how to generate a formula.
The product of two consecutive even numbers is 288.
Which two numbers?
(try to solve this by making an equation) Remember your answer, don't put this in a chat.
1 / 28
Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 2

This lesson contains 28 slides, with interactive quizzes and text slides.

## Items in this lesson

Goodmorning! Please enter this lesson by using the code in the left-hand corner.
Aim of this lesson:
• Learn how to find the intersection points of a linear and a quadratic equation
• Learn how to generate a formula.
The product of two consecutive even numbers is 288.
Which two numbers?
(try to solve this by making an equation) Remember your answer, don't put this in a chat.

Page 128
Ex. 68

#### Slide 2 -Slide

How to work this out?

x2=x+6

#### Slide 3 -Slide

How to work this out?

x2=x+6
x2x6=0

#### Slide 4 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum
Product

#### Slide 5 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product

#### Slide 6 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6

#### Slide 7 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6

#### Slide 8 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6
-6
1
-5
-6

#### Slide 9 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6

#### Slide 10 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6

#### Slide 11 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6

#### Slide 12 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6
(x3)(x+2)=0

#### Slide 13 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6
(x3)(x+2)=0
x3=0
x+2=0
or

#### Slide 14 -Slide

How to work this out?

x2=x+6
x2x6=0
Factorising:

Number 1
Number 2
Sum   -1
Product         -6
-1
6
5
-6
-6
1
-5
-6
-2
3
1
-6
-3
2
-1
-6
(x3)(x+2)=0
x3=0
x+2=0
or
x=3 or x= -2

Page 128
Ex. 68
x= -3 or x= 2

#### Slide 16 -Slide

Page 128
Ex. 68
x= -3 or x= 2
You can substitute x in both formula's

#### Slide 17 -Slide

Page 128
Ex. 68
x= -3 or x= 2
You can substitute x in both formula's

#### Slide 18 -Slide

What are the coordinates of the intersection points?

Page 131 ex. 75

#### Slide 20 -Slide

Page 131 ex. 75
Can we generate a formula?

#### Slide 21 -Slide

what is the Pythagorean theorem again?
A
a=b+c
B
a+b=c
C
a2+b2+c2=0
D
a2+b2=c2

#### Slide 22 -Quiz

You're allowed to use the Pythagorean theorem in :
A
an obtuse angle
B
a right angle
C
an reflex angle
D
an acute angle

Tekst
Obtuse angle
Right angle
Reflex angle
Acute angle

#### Slide 24 -Drag question

Page 131 ex. 75
x
• Via Mario = 14 km
• So the distance From Mario -> Thomas = 14-x
• x2 + (14-x)2 = 102
• x2+196-28x+x2=100
• 2x2 -28x +96=0

#### Slide 25 -Slide

Via Mario = 14 km
So the distance From Mario -> Thomas = 14-x
x2 + (14-x)2 = 102
x2+196-28x+x2=100
2x2 -28x +96=0
• Factorise! But first divide by 2.
• x2 -14x+48=0
• (x-6)(x-8)=0
• x-6 = 0 or x-8 = 0
• x=6 or x= 8

#### Slide 26 -Slide

Back to the question of the first slide:
The product of two consecutive even numbers is 288. Which two numbers?
The product of two consecutive even numbers is 288.
Which two number?
(try to solve this by making an equation) Rember your answer don't put this in a chat

#### Slide 27 -Open question

Aim of this lesson:
• Learn how to find the intersection points of a linear and a quadratic equation
• Learn how to generate a formula.

Homework: All combined exercises. Hand them in in Teams before next tuesday. There is an assignment in Teams!