Bachiller

Universidad Tecnológica Centroamericana

Asignatura: Sistemas de Información

Alumno: Roger Pineda


Catedrático: Ing. Gustavo Alberto

Fecha de entrega: 07/12/2012

40)x2-2x-15=0
x2-2x=15
x2-2x+1=1+15
x2-2x+1=16
x-12=16
(x-1)2=16
x-1=±4
x=1±4
x1=1+4=5
x2=1-4=3

42) x2+6x+8=0
x2+6x=-8
x2+6x+9=-8+9
x2+6x+9=1
x+32=1
x+32=1
x+3=±1
x=-3±1
x1=-3+1
x2=-3-144) x2-9x+18=0
x2-9x=18
x2-9x+814=18+814z
x2-9x+92=724+814
x2-9x+92=1534
x-922=1534
x-92=±1534
x=92±1534
x1=92+1534
x2=92-1534

46) 3c2-5c-2=0
3c23-5c3-23=03
c2-5c3=23c2-5c3+103=103+23
c-1032=123
c-103=±123
c-103=±4
c-103=±2
c=103±2
c1=103+2=10+63=163=
c2=103-2=10-63=43

48) 4a2+11a=3
4a42+11a4=34
a2+11a4+112=112+34
a+1122=22+34
a+112=1254
a+112=±1254a=-112±1254
a1=-112+1254
a2=-112-1254

50) x2-x-12=0
x2-x=12
x2-x+12=12+12
x-122=1+242=252
x-12=±252
x=12±252
x1=12+252
x2=12-252

52) -a2-5a+14=0
-a2-5a=-14
-a2-5a+52=52-14
(a-52)2=5+282=332a-52=±332
a=52±332
a1=52+332
a=52-332

54) -z2+4z+12=0
z2-4z=12
z2-4z+4=4+12
z-22=16
z-2=±16
z-2=±4
z=2±4
z1=2+4=6
z2=2-4=2

56) -x2=4x-32
x2=-4x+32
x2+4x=32
x2+4x+4=4+32
x+22=36x+2=±36
x=-2±36
x1=-2+36=34
x2=-2-36=-38

58) -x2+40=-3x
x2-40=3x
x2-3x+94=94+40
x-322=9+3604=3694
x-32=±3694
x=32±3694
x1=32+3694
x2=32-3694

60) x2-6x+2=0
x2-6x=-2
x2-6x+9=9-2x-32=7
x-3=±7
x=3±23
x1=3+23=53
x2=3-23=3

62) a2+4a-1=0
a2+4a=1
a2+4a+4=4+1
a+22=5
a+2=±5
a=-2±21
a1=-2+21=1
a2=-2-21=-41

64) p2-5p=8
p2-5p+52=52+8
p-522=5+162=212
p-52=±212p=52±212
p1=52+212
p2=52-212

66) z2-5z+7=0
z2-5z=-7
z2-5z+52=52-7
z-522=5-142=-112
z-52=±-112-1
z=52±i112
z1=52+i112
z2=52-i112

68) 3y2-12y=0
y2-6y=0
y2-6y+9=9
y-32=9
y-3=±9
y=3±3y1=3+3=6
y2=3-3=0

70) 13a2-43a=0
a2-123a=0
a2-4a=0
a2-4a+4=4
a-22=±4
a-2=±2
a=2±2
a1=2+2=4
a2=2-2=0

72) x2=32x
x2-32x=0
x2-32x+34=34
x-342=34
x-34=±34
x=34±34
x=34+34
x=34-34...