I

UNIVERSIDAD PRIVADA TELESUP

ECUACIONES E INECUACIONESResuelve 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.

a) 1

b) 2

c) 3

d) 4

e) 5

x2 +(25-n) x + 7 = 0

- (25 - n ) = - 23

- 25 + n = - 23

n = -23+25

n = 2

la respuesta es (b)2) Resolver: x2 + 7x + 12 > 0

a) (-( ; -8(b) (-( ; 1(c) (-( ; -4( ( (-3 +((d) (-( ; 2( ( (3 ; +((e) (-( ; -10(x2+7 x + 12 0

x---------------4

x---------------3

(x + 4) (x + 3 ) 0

(-( ; -4( ( (-3 +((3) Resolver: |2x 1| = x

a) C.S. = { -1 ; 1}

b) C.S. = { - 1/3 ; 1}

c) C.S. = { 1 ; 3}

d) C.S. = { 1/3 ; 1/2}{2 x - 1}= x

x 0

2 x - 1 = x 2 x - 1= -x

2 x -x = 1 3 x = 1

x = 1 x = 1 3 C.S. = { 1/3 ; 1} Respuesta ( c )

4)

a) (-( ; -1( ( (0 ; +((b) (-( ; 1( ( (2 ; 5(c) (-( ; 1( ( (2 ; 3(d) (-( ; 1( ((2 ; 5(e) (2 ; 5(x + 1 1 x2 + 1 x + 1

x + 1 _ 1 0

x2 + 1 x + 1

x2 + 2 x + 1 - x2 -1 0

(x2 + 1) ( X +1)

2X 0

(x2 + 1) (X+1)

X=0

x= -1

(-( ; -1( ( (0 ; +(( Respuesta (a)

Resolve r:

a) x ( (-1 ; 1/12( ( (1/12 ; 3(b) x ( (-( ; 9( ( (9 ; ((c) x ( (-2 ; 9( ( (9 ; 12(d) x ( (-( ; 12( ( (12 ; +((e) x ( ( 1/2 ; +(( x2 + 4x 5x - 1

x2 + 4 x 0

x ( x + 4) 0

x2 + 4 x (5 x -1)

x2 + 4 x 25 x2 - 10 x + 1

0 24 x2 - 14 X + 1

24 x2 - 14 X + 1 0 = (12X -1 ) (2 X -1)

12X -1

2X -1 x 1 ; x 1

12 2 Respuesta (e) MATEMTICA BSICAPgina 1

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