11 x1 t10 03 equations reducible to quadratics (2012)

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Equations Reducible To Quadratics

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

let 3xm

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

let 3xm 22 2 23 3 3 9

xx x xm

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

let 3xm 22 2 23 3 3 9

xx x xm 2 4 3 0m m

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

let 3xm 22 2 23 3 3 9

xx x xm 2 4 3 0m m

3 1 0m m

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

let 3xm 22 2 23 3 3 9

xx x xm 2 4 3 0m m

3 1 0m m

3 or 1m m

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

let 3xm 22 2 23 3 3 9

xx x xm 2 4 3 0m m

3 1 0m m

3 or 1m m

3 3 or 3 1x x

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

let 3xm 22 2 23 3 3 9

xx x xm 2 4 3 0m m

3 1 0m m

3 or 1m m

3 3 or 3 1x x 1x

Equations Reducible To Quadratics4 2e.g. ( ) 4 12 0i x x

2let m x2 4m x

2 4 12 0m m 6 2 0m m

6 or 2m m 2 26 or 2x x

6x no real solutions

6x

( ) 9 4 3 3 0x xii

let 3xm 22 2 23 3 3 9

xx x xm 2 4 3 0m m

3 1 0m m

3 or 1m m

3 3 or 3 1x x 1x or 0x

Exercise 8D; 1, 2ad, 3b, 4ab, 5ac, 6a, 8abi, 9a*

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