11x1 t11 06 sign of a quadratic (2011)
TRANSCRIPT
The Sign Of A Quadratic
The Sign Of A QuadraticPositive Definite
y
x
The Sign Of A QuadraticPositive Definite
y
x
The Sign Of A QuadraticPositive Definite
y
x
0 , 0a
The Sign Of A QuadraticPositive Definite
y
x
0 , 0a
Negative Definitey
x
The Sign Of A QuadraticPositive Definite
y
x
0 , 0a
Negative Definitey
x
The Sign Of A QuadraticPositive Definite
y
x
0 , 0a
Negative Definitey
x
0 , 0a
Indefinite
Indefinite
y
x
Indefinite
y
x
0 , 0a
Indefinite
y
x
0 , 0a
y
x
Indefinite
y
x
0 , 0a
y
x
0 , 0a
Indefinite
y
x
0 , 0a
y
x
0 , 0a y
x
Indefinite
y
x
0 , 0a
y
x
0 , 0a y
x
0 , 0a
Indefinite
y
x
0 , 0a
y
x
0 , 0a y
x
0 , 0a
y
x
Indefinite
y
x
0 , 0a
y
x
0 , 0a y
x
0 , 0a
y
x
0 , 0a
2e.g. Find the values of which makes 6 0 positive definitek kx x k
2e.g. Find the values of which makes 6 0 positive definitek kx x k 0a
2e.g. Find the values of which makes 6 0 positive definitek kx x k 0a 0k
2e.g. Find the values of which makes 6 0 positive definitek kx x k 0a 0k
0
2e.g. Find the values of which makes 6 0 positive definitek kx x k 0a 0k
0 236 4 0k
2e.g. Find the values of which makes 6 0 positive definitek kx x k 0a 0k
0 236 4 0k 2 9k
2e.g. Find the values of which makes 6 0 positive definitek kx x k 0a 0k
0 236 4 0k 2 9k
3 or 3k k
2e.g. Find the values of which makes 6 0 positive definitek kx x k 0a 0k
0 236 4 0k 2 9k
3 or 3k k
3k
2e.g. Find the values of which makes 6 0 positive definitek kx x k 0a 0k
0 236 4 0k 2 9k
3 or 3k k
3k
Exercise 8G; 2ace, 3bd, 4bd, 5bd, 6, 12, 15, 17*