Ejercicios del libro Matemáticas aplicadas y problema aplicado
Enviado por María Camila • 24 de Mayo de 2020 • Tarea • 1.419 Palabras (6 Páginas) • 147 Visitas
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TITULO DEL TRABAJO
Ejercicios del libro Matemáticas aplicadas y problema aplicado.
ASIGNATURA
Fundamentos de matemáticas
PRESENTAN
María Camila Niño Bernal ID 468932
Wilfredo Cuellar Hernández ID 747819
Miguel Felipe Torres ID 744968
DOCENTE
William Naranjo Gutiérrez
NRC: 16986
IBAGUÉ, TOLIMA
2020
Ejercicios página 67
15. 1 + x = 3 – x
X + x = 3 – 1
2x = 2
X = 2/2
X = 1
17. 2x – 5 = - 15 – 3x
2x + 3x = - 15 + 5
5x = -10
X = -10/5
X = -2
19. 4(x – 3) = 8 – x
4x – 12 = 8 – x
4x + x = 8 + 12
5x = 20
X = 20/5
X = 4
21. 3 – 2(1 – x) = 5 + 7(x – 3)
3 – 2 + 2x = 5 + 7x - 21
1 + 2x = - 16 + 7x
2x – 7x = - 16 – 1
-5x = - 17
X = -17/5
X = - 3.4
23. 3z – 2 + 4(1 – z) = 5(1 – 2z) – 12
3z – 2 + 4 – 4z = 5 – 10z – 12
3z + 2 – 4z = - 7 – 10z
3z – 4z + 10z = -7 – 2
9z = - 9
Z = -9/9
Z= -1
25. 1 – 2[4 – 3(x + 1)] = 4(x -5) – 1
1 – 2[4 – 3x – 3] = 4x – 20 -1
1 – 2[1 – 3x] = 4x – 21
1 – 2 + 6x = 4x – 21
-1 + 6x = 4x – 21
6x – 4x = - 21 + 1
2x = - 20
X = -20/2
X = - 10
27. [pic 2]
[pic 3]
[pic 4]
[pic 5]
29. 1 - – 3u[pic 6]
12 – 6u + 9 = 8 – 20u - 36u
21 – 6u = 8 – 56 u
-6u + 56u = 8 – 21
50u = - 13
U = -13/50
U = 0.26
31. (1 – 2y) – 4[pic 7]
+ [pic 8][pic 9]
+ -[pic 10][pic 11][pic 12]
20y + 10 + 15y = - 108 – 24y
35y + 10 = - 108 - 24y
35y + 24y = -108 – 10
59y = -118
Y = -118/59
y = - 2
33. (x – 4)2 = (x – 2)2
X2 – 8x + 16 = x2 – 4x + 4
-8x + 16 = - 4x + 4
-8x + 4x = 4 – 16
- 4x = -12
X = -12/-4
X= 3
35. x2 + (x + 1)2 = (2x – 1)(x + 3)
X2 + x2 + 2x + 1 = 2x2 + 6x – x – 3
2x2 + 2x + 1 = 2x2+ 5x - 3
2x + 1 = 5x – 3
2x – 5x = - 3 – 1
-3x = - 4
X = -4/-3
X= 1.3
37. (2x + 1)(x – 1) + x2 = 3(x -1)(x +2) – 3
2x2 – 2x + x – 1 + x2 = (3x – 3) (x + 2) – 3
3x2 – x - 1 = 3x2 + 6x – 3x – 6 - 3
3x2 – x - 1 = 3x2+ 3x – 9
-x – 1 = 3x – 9
-x – 3x = - 9 + 1
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