11x1 t10 06 sign of a quadratic (2010)

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*