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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