7/24/2019 301301 46 Momento 2

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MOMENTO 2UNIDAD 1 ECUACIONES E INECUACIONES

OCTAVIO MERCADO GOMEZ

CC. 1.112.758.737Grupo: 301301_46

TutorMANUE !RANCI"CO CI!UENTE"

UNIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA

PROGRAMA ADMINISTRACION DE EMPRESASALGEBRA, TRIGONOMETRIA Y GEOMETRIA ANALITICAOCTUBRE DE 2015

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Te!t"#$% re&"%$'$%( E#u$#"o)e%, I)e#u$#"o)e% * V$+or A%o+uto-

1- Re%ue+&$ +$ %".u"e)te e#u$#"/) * #oruee %u %o+u#"/)(2-

5

x2+4x+3

+ 2

x2+x6

= 3

x2x2

R5

(x+1 ) (x+3 )+

2

(x+3 )+ (x2)=

3

(x2) (x+1)

( 5(x+1)(x+3)+ 2(x+3 )(x2)) ((x2)(x+1))=3

(x2)(x+1)5(x+1)(x+3)

+(x2) (x+1 )2(x+3)(x2)

=3

5 (x2 )x+3

+2 (x+1 )x+3

=3

5x10+2x+2x+3

=3

7x8x+3

=3

7x8=3 (x+3 )7x8=3x+9

7x3x=8+9 4x=17x=17

4

Coro$#"/)(5

x2+4x+3

+ 2

x2+x6

= 3

x2x2

5

(174)2

+4 ( 174)+3+ 2

(174)2

+( 174)6= 3

( 174)2

( 174)2

5

289

16+17+3

+ 2

289

16+17

46

= 3

289

1617

42

7/24/2019 301301 46 Momento 2

3/14

80

609+ 32

261=16

63

16

63=16

63

- Re%ue+&$ +$ %".u"e)te e#u$#"/) * #oruee %u %o+u#"/)(

{4 (d+3 )5 [3d2 (2d+7 )]8 }=10d6

R{4 (d+3 )5 [3 d4 d+14 ]8 }=10d6

{4 (d+3 )5 [d14 ]8 }=10d6

{4 (d+3 )+5 d+708 }=10 d6

{4 (d+3 )+5 d+62 }=10d6

{4d+12+5d+62 }=10d6

9d74=10d6

9d+10 d=746

7/24/2019 301301 46 Momento 2

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d=68

Coro$#"/)(

{4 (68+3 )5 [3 (68 )2(2 (68 )+7 ) ]8 }=10 (68 )6

{4 (68+3 )5 [3 (68 )2 (136+7 )]8}=10 (68 )6

{4 (68+3 )5 [20427214 ]8 }=686

{4 (68+3 )5 [82 ]8 }=686

{4 (68+3 )+4108 }=686

{284+4108 }=686

686=686

3- Re%o+&er e+ %".u"e)te %"%te$ 'e e#u$#"o)e% * #oruee %u %o+u#"/)(

7/24/2019 301301 46 Momento 2

5/14

14

x+1

2y

1

2z=2

1

2x+

1

3y

1

4z=2

1

2

x

1

2

y+

1

4

z=1

}

1

2

3

R14

x+1

2y

1

2z=2Multiplico

1

2

1

8x

1

4y+

1

4z=1

1

2x+ 1

3y1

4z=2

5

8x+

1

12y=3ecuancion No4 la2

1

2x

1

2y+

1

4z=1

1

2 x+1

3 y1

4 z=2

1x1

6y=3ecuacion No5 la1

5

4x+

1

6y=6

1x1

6 y=3

9

4x=9

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x=9

9

4

949x=4

x=4

Su%t"tu"o% e) 3

5

8(4 )+

1

12y=3

5

2+ 1

12y=3

112

y=325

y=3

5

2

1

12

y=6

y=6

1

2(4 )

1

2(6 )+

1

4z=1

23+1

4z=1

1+ 14z=1

1

4z=1+1

7/24/2019 301301 46 Momento 2

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z=1+11

4

z=2

1

4

z=8

z=8

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