11 x1 t10 03 equations reducible to quadratics (2012)
TRANSCRIPT
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*