301301 – 46 – momento 2
TRANSCRIPT
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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
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80
609+ 32
261=16
63
16
63=16
63
- Re%ue+&$ +$ %".u"e)te e#u$#"/) * #oruee %u %o+u#"/)(
{4 (d+3 )5 [3d2 (2d+7 )]8 }=10d6
R{4 (d+3 )5 [3 d4 d+14 ]8 }=10d6
{4 (d+3 )5 [d14 ]8 }=10d6
{4 (d+3 )+5 d+708 }=10 d6
{4 (d+3 )+5 d+62 }=10d6
{4d+12+5d+62 }=10d6
9d74=10d6
9d+10 d=746
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d=68
Coro$#"/)(
{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$#"o)e% * #oruee %u %o+u#"/)(
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14
x+1
2y
1
2z=2
1
2x+
1
3y
1
4z=2
1
2
x
1
2
y+
1
4
z=1
}
1
2
3
R14
x+1
2y
1
2z=2Multiplico
1
2
1
8x
1
4y+
1
4z=1
1
2x+ 1
3y1
4z=2
5
8x+
1
12y=3ecuancion No4 la2
1
2x
1
2y+
1
4z=1
1
2 x+1
3 y1
4 z=2
1x1
6y=3ecuacion No5 la1
5
4x+
1
6y=6
1x1
6 y=3
9
4x=9
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x=9
9
4
949x=4
x=4
Su%t"tu"o% e) 3
5
8(4 )+
1
12y=3
5
2+ 1
12y=3
112
y=325
y=3
5
2
1
12
y=6
y=6
1
2(4 )
1
2(6 )+
1
4z=1
23+1
4z=1
1+ 14z=1
1
4z=1+1
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z=1+11
4
z=2
1
4
z=8
z=8
5- M$teo t"e)e u) ue%to 'e #o"'$% r!"'$%4 e) +4 &e)'e #$'$ 6$ur.ue%$ $ 7 8000* #$'$ erro #$+"e)te $ 7 500- S" +$ &e)t$ tot$+ 'e+ '9$ :ue 'e 7350-000 * %e &e)'"ero)110 ro'u#to%- ;Cu!)to% ro'u#to% 'e #$'$ u)o %e Ve)'"ero)