Ecuaciones de Primer grado con una variable
Enviado por imasumacy • 13 de Julio de 2017 • Exámen • 1.786 Palabras (8 Páginas) • 284 Visitas
Ecuaciones de Primer grado con una variable
1. Resolver las siguientes ecuaciones:
1. 5x - 15 = x + 25
5x - 15 = x+25
5x – x = 25 + 15
4x = 25 + 15
4x = 40
x = 10
2. 3(x - 5) + 6 = 4(x + 7) – 39
3x – 15 + 6 = 4 (x+7) - 39
3x – 9 = 4 (x+7) – 39
3x – 9 = 4x + 28 -39
3x – 9 = 4x – 11
3x – 4x = -11 + 9
-x = -11+ 9
-x = -2
x= 2
3. (x + 6)(x - 5) = x2 + 3x – 53
(x+6) (x-5) - x2 – 3x = -53
x2 – 5x + 6x – 30 - x2 – 3x = -53
x2 + x -30 - x2 – 3x = -53
x-30-3x = -53
-2x – 30 = -53
-2x = -53 + 30
-2x = -23
x=
x=
x= 11,5
4. x2 + 6x + 10 = (x + 8)2
x2 + 6x - (x + 8)2 = -10
x2 + 6x – (x2 + 16x + 82) = -10
x2 + 6x – (x2+ 16x + 64) = -10
x2 + 6x – x2 -16x – 64 = -10
6x – 16x -64 = -10
-10x -64 = -10
-10x = -10 + 64
-10x = 54
x= -
x=
x= -5,4
5. 3(x + 2) + 4(2x - 1)2 = 16x2 + 3x – 22
3x + 6 + 4 (2x - 1)2 = 16x2 + 3x – 22
3x + 4 (2x - 1)2 - 16x2 – 3x = -22-6
4 (2x - 1)2 - 16x2 = -22-6
4 (2x - 1)2 - 16x2 = -28
4 (4x2 – 4x + 1) - 16x2 = -28
16x2 - 16x + 4 -16x2 = -28
- 16x + 4 = -28
-16x = -28 – 4
-16x = -32
x=
x= 2
Ecuaciones de Segundo grado
Resolver las siguientes ecuaciones:
01) x2 = 81
x =
x =
x = 9; -9
02) 14x2 - 28 = 0
14x2 = 28
x2 =
x2 = 2
x =
x = ; -
03) (x + 6)(x - 6) = 13
x2 - 62 = 13
x2 – 36 = 13
x2 = 13 + 36
x2 = 49
x =
x =
x = 7; -7
04) (2x - 5)(2x + 5) - 119 = 0
(2x) 2 - 52 - 119 = 0
4x2- 52 - 119 = 0
4x2- 25 -119 = 0
4x2 -144 = 0
4x2 = 144
x2 =
x2 = 36
x =
x =
x = 6; -6
05) (x + 11)(x - 11) = 23
x2 -112 = 23
x2 = 23 + 112
x2 = 23 + 121
x2 = 144
x =
x =
x = 12; -12
06) x2 = 7x
x2 -7x = 0
xx – 7x = 0
xx+ x.-7 = 0
x (x-7) = 0
x= 0
x – 7 = 0
x= 7
x = 0; 7
07) 21x2 + 100 = - 5
21x2 = -5 – 100
21x2 = - 105
x2 =
x2 = -5
x =
x = ;
08) 2x2 - 6x = 6x2 - 8x
2x2 - 6x - 6 x2 + 8x = 0
-4x2
...