Download - 11 X1 T01 07 quadratic equations (2010)
Quadratic Equations
Quadratic EquationsIf ab = 0 then either a = 0 or b = 0
Quadratic Equations2e.g. ( ) 9 18 0i x x
If ab = 0 then either a = 0 or b = 0
Quadratic Equations2e.g. ( ) 9 18 0i x x
6 3 0x x 6 or 3x x
If ab = 0 then either a = 0 or b = 0
Quadratic Equations2e.g. ( ) 9 18 0i x x
6 3 0x x 6 or 3x x
( ) 2 1 0ii x x
If ab = 0 then either a = 0 or b = 0
Quadratic Equations2e.g. ( ) 9 18 0i x x
6 3 0x x 6 or 3x x
( ) 2 1 0ii x x
10 or 2
x x
If ab = 0 then either a = 0 or b = 0
Quadratic Formula
2 42
b b acxa
Quadratic Formula
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x
Quadratic Formula
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Quadratic Formula
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Quadratic Formula
5 574
x exact
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Quadratic Formula
5 574
x
3.14 or 0.64x x
exact
approximate
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Quadratic Formula
5 574
x
3.14 or 0.64x x
exact
approximate
2
( ) make the subject in 4 3ii x
y x x
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Quadratic Formula
5 574
x
3.14 or 0.64x x
exact
approximate
2
( ) make the subject in 4 3ii x
y x x 2 4 3 0x x y
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Quadratic Formula
5 574
x
3.14 or 0.64x x
exact
approximate
2
( ) make the subject in 4 3ii x
y x x 2 4 3 0x x y
4 16 4 32
yx
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Quadratic Formula
5 574
x
3.14 or 0.64x x
exact
approximate
2
( ) make the subject in 4 3ii x
y x x 2 4 3 0x x y
4 16 4 32
yx
4 2 4 32
yx
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Quadratic Formula
5 574
x
3.14 or 0.64x x
exact
approximate
2
( ) make the subject in 4 3ii x
y x x 2 4 3 0x x y
4 16 4 32
yx
4 2 4 32
yx
4 2 72
yx
2 7x y
2 42
b b acxa
2e.g.( ) 2 5 4 0i x x 5 25 32
4x
Exercise 1G; 1ad, 2ah, 3aei, 4dhl,5bgl, 6bf, 7ace, 8c, 9a, 10b,
11aceg, 12bc, 13b*
Quadratic Formula
5 574
x
3.14 or 0.64x x
exact
approximate
2
( ) make the subject in 4 3ii x
y x x 2 4 3 0x x y
4 16 4 32
yx
4 2 4 32
yx
4 2 72
yx
2 7x y
