Post on 07-Nov-2015
I
UNIVERSIDAD PRIVADA TELESUP
ECUACIONES E INECUACIONES
Resuelve los ejercicios y envalo a travs de la tarea "Ecuaciones e Inecuaciones".
1) Determinar el valor de n en la ecuacin: Si la suma de sus races es 23.
Suma de races: x1 + x2 = = 23b = 25-n
a = 1
= -23
25 n = 23
a) 1
b) 2
c) 3
d) 4
e) 5
2) Resolver: x2 + 7x + 12 > 0
X4
X3
(x+4)(x+3) > 0
X+4 > 0x+3 > 0
X > -4
x > -3
+
-
+
-4
-3
a) (-( ; -8(b) (-( ; 1(c) (-( ; -4( ( (-3 +((d) (-( ; 2( ( (3 ; +((e) (-( ; -10(3) Resolver: |2x 1| = x
(|2x 1|)2 = x(2x-1)2 = x
4x2 4x + 1 = x23x2 - 4x + 1 = 0
(3x-1)(x-1) = 0
3x-1 = 0x-1 = 0
3x = 1
x = 1
X =
a) C.S. = { -1 ; 1}
b) C.S. = { - 1/3 ; 1}
c) C.S. = { 1/3 ; 1}
d) C.S. = { 1 ; 3}
e) C.S. = { 1/3 ; 1/2}
4)
2x = 0
x+1 = 0
X = 0
x = -1
+ - +
- 1
0
a) (-( ; -1( ( (0 ; +((b) (-( ; 1( ( (2 ; 5(c) (-( ; 1( ( (2 ; 3(d) (-( ; 1( ((2 ; 5(e) (2 ; 5(5) Resolver:
+ - +
-4 0 1/5
CS1 = (1/5; +((
X2 + 4x < 25x2 10x + 1-24x2 + 14x -1 < 0
24x2 -14x + 1 > 0
(12x -1)(2x-1) > 0
X=1/12
X=1/2
CS2 = (-( ; 1/12( U (1/2 ; +((
Rpta. CS1 CS2Rpta. n = 2
MATEMTICA BSICAPgina 1
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