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ALGEBRA, TRIGONOMETRIA Y GEOMETRIA ANALITICA

301301A_220

ACTIVIDAD TRABAJO COLABORATIVO MOMENTO 2

ELABORADO POR:

ESTUDIANTE 1CODIGO:

ESTUDIANTE 2CODIGO:

ESTUDIANTE 3CODIGO:

ESTUDIANTE 4CODIGO:

UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA UNAD

PALMIRA VALLE DEL CAUCA

2015_I

TABLA DE CONTENIDO

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INTRODUCCION

3

CONTENIDO.5

CONCLUSION

.9

REFERENCIAS BIBLIOGRACIFAS

CIBERGRAFIA10

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INTRODUCCION

Las ecuacioes so i!ua"#a#es $a%e$&%icas 'ue se #a e%(e #os e)*(esioes

a"!e+(aicas, #eo$ia#as $ie$+(os, e "as 'ue a*a(ece -a"o(es cooci#os, #a%os oic!i%as, (e"acioa#os $e#ia%e o*e(acioes $a%e$&%icas. A#e$&s es%as o*e(acioes

$a%e$&%icas, so "a +ase #e" (a/oa$ie%o #e" se( u$ao, a 'ue es%as se ecue%(a

*(ese%e e ues%(a -i#a #ia(ia, au#oos a so"ucioa( *(o+"e$as o ico-eie%es

#e %i*o "!ico $a%e$&%ico

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TRABAJO COLABORATIVO

1. Resue"-a "a si!uie%e ecuaci "iea":

3x+1

7

24x

3

=5x4

14

+7x

6

3 (3x+1 )7 (24x )21

=6 (5x4 )+14 (7x )

42

39x+314+28x21

=30x24+98x

42

37x11

21

=68x24

42

42 (37x11)=21 (68x24 )

1554x462=1428x504

1554x1428x= 25046

126x=42

x=42126

x=2

3

6. Resue"-a "a si!uie%e ecuaci "iea":

2

3 [x(1x2x2 )]+1=Xx2

3(3)+1=X

x2

3

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2

3 (3x(3(x2 ))

3 )+1=X6x(6(2x4 ))

9 +1=X

6x(

62

x+4)9 +1=X

6x6+2x49

+1=X

8x109

+1=X

8x10+99

=X

8x

1

9 =X

8x1=9x

8x9x+1

8x9x=1

x=1

x=1

3. Reso"-e( e" si!uie%e sis%e$a #e ecuacioes

x9y+5z=33 718

x+3yz=9 768

xyz=5 738

x9y+5z=33 718

5 (x+3yz=9 ) (2 )x9y+5z=33

5x+15y5z=45

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6x+6y=78/6

x+y=13(4)

222222222222222222222222222222222222222222

x9y+5z=33 718

5 (xyz=5)(3)x9y+5z=335x+5y5z=25

6x14y=58

6x14y=58(5)

222222222222222222222222222222222222222222222222222222

x+y=13(4)

.

6x14y=58(5).

14(x+y=13)(4)

.

6x14y=58(5)14x+14y=182

x=240

20

.20x=240 (5)

x=12

22222222222222222222222222222222222222222222222222222222222

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x+y=13(4)

12 (x )+y=13

12+y=13

y=1312

y=1

x9y+5z=33

129 (1 )+5z=33

3+5z=33

5z=333

5z=30

z=30

5

z=6

. U o+e%o a((oa#o o "a/a#o acia a((i+a co ua -e"oci#a# iicia" ;o 7*ies($u"a: ? 2 1%6 4 ;o% Su*o!a 'ue se #is*a(a ua +a"a #i(ec%a$e%e

acia a((i+a co ua -e"oci#a# iicia" #e @00 *ies < se!. a8

A8 Cuo (e!(esa(& "a +a"a a" i-e" #e" *iso

0=16 t2+Vot

0=16 t2+800 t

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t=16 t(t50 ) t=50 segundos

8 B8 Cuo a"ca/a(& ua a"%u(a #e 00 *ies

h=6400

6400=16 t2+800t

16 t2800 t+6400 ?0

t250 t+400=0

( t10 ) (t40 )=0

t=10 t=40

5. Resue"-a "a si!uie%e ecuaci co (a#ica"es:

2x1+x+4=6

2x1=36+x+412x+4

12x+4=36+x+4 (2x1 )

12x+4=36+x+42x1

12x+4=41x

(12x+4 )2

=(41x )2

144 (x+4 )=168+x282x

144x+576=1681x282x

0=x2226x+1105

x=350266

24(1105 )2

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2265107644202

=226+216

2=221

226+5107644202

=226216

2=5

x=5x=221

. Resue"-a "a si!uie%e iecuaci:

12

43x5

14

mcm20

1020

1612x

20 5

20

101612x 5

101612x 1612x 5

12x 16+10 12x 521

12x 26 12x 11

12x

1226

12X

13

6 12x

1211

12X

11

12

. Resue"-a "a si!uie%e iecuaci:

1

x+1+ 1

x+20mcm x+1

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x+1+x+2x+1

0

2x+3x+1

0

2x+3=0 x+1=0

2x=3 x=1

x=32

@. Ecue%(e "a so"uci *a(a "a si!uie%e ecuaci co -a"o( a+so"u%o:

|2x1|=2(x5 )2

|2x1|=2|x5|

|2x1|=2|x5|{2x1=(x5 )0=9

2x1=2 (x5) x=11

4

9. Ecue%(e "a so"uci *a(a "a si!uie%e iecuaci co -a"o( a+so"u%o:

|3x2|+|7x+3|

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3x2+7x+3

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CONCLUSIONES

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BIBLIOGRAFIA-CIBERGRAFIA

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