Conquista da Matemáticaresolucao

Page 242

2x 5 216b x 5 16b S 5 {16b} e) 5bx 1 2a 5 bx 1 3a 5bx 2 bx 5 3a 2 2a 4bx 5 a

a x5 4b

 a  S5 , b  0  4b  f) 3 (ax 1 b) 5 2 (ax 2 b) 3ax 1 3b 5 2ax 2 2b 3ax 2 2ax 5 22b 2 3b ax 5 25b

2. 6hx 1 14 5 18 1 2hx 6hx 2 2hx 5 18 2 14 4hx 5 4

x 52

5b a

 5b  S 5 2 , a  0  a  g) (x 1 b) (x 2 b) 5 x (x 2 b3) x2 1 b2 5 x2 2 xb3 x2 2 x2 1 xb3 5 b2

xb3 5 b2

x5

b2 b3 1 x5 b

3.

4.

2ax 5 2a

2a x5 2a

x51 S 5 {1}

i)

x x 5c 1 a 2a 2x 2ac 1 x 5 2a 2a 2x 2 x 5 2ac x 5 2ac S 5 {2ac}

j) am 1

242

x ax 2 5b m b

abm2 1 bx 2 amx b2m 5 bm bm bx 2 amx 5 b2m 2 abm2

x5

1 h

b1x b2x 2x 1 5 5 3 10

x 2a x2b 52 2 b a ax 2 a2 2ab 2 bx 1 b2 5 ab ab 2 ax 1 bx 5 a 1 2ab 1 b2 x (a 1 b) 5 (a 1 b)2

1  S 5  , b  0 b h) (a 2 b) x 1 (a 1 b) x 5 2a ax 2 bx 1 ax 1 bx 52a

4 4h

6b 1 6x 1 10b 2 10x 23x 5 30 30 6x 2 10x 1 3x 5 26b 2 10b 2x 5 216b x 5 16b O número deve ser 16b.

x5

1  S 5  , h  0 h

x (b 2 am) 5 bm (b 2 am) bm (b 2 am) x5 (b 2 am) x 5 bm S 5 {bm}

x5

(a 1 b)2 (a 1 b)

x5a1b S 5 {a 1 b} 5.

x 5a 2bx 2 5 a2 b a1 b (a 1 b)(a 2 b) x (a 1 b) 2 5a (a 2 b) 2bx 5 (a 1 b)(a 2 b) (a 1 b)(a 2 b) ax 1 bx 2 5a2 1 5ab 5 2bx ax 1 bx 2 2bx 5 5a2 2 5ab ax 2 bx 5 5a2 2 5ab x (a 2 b) 5 5a (a 2 b) x5

5a (a 2 b)

(a 2 b)

x 5 5a 6. (m 2 n) x 1 (m 1 n) x 5 10m x (m 2 n 1 m 1 n ) 510m


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