Ejercicio 80 Resolver las siguientes ecuaciones: 1. X + 3(x - 1) = 6 - 4(2x + 3) 2.5(x - 1) + 16(2x + 3) = 3(2x - 7) - X 3. 2(3x + 3) - 4(5x – 3) = x(x – 3) – x(x + 5) 4. 184 - 7(2x + 5) = 301 + 6(x - 1) - 6 5. 7(18 - x) – 6(3 – 5x) = -(7x+9) – 3(2x + 5-12 6. 3x(x – 3) + 5(x + 7) – x(x + 1) - 2(x2 + 7) + 4 = 0 7. -3(2x + 7) + (-5x + 6) – 8(1 – 2x) - (x - 3) = 0 8. (3x – 4)(4x – 3) = (6x – 4)(2x – 5) 9. (4 – 5x)(4x – 5) = (10x - 3)(7 - 2x) 10. (x + 1)(2x + 5) = (2x + 3)(x-4) + 5 11. (x - 2)2 – (3 - x)2 = 1 12. 14 - (5x - 1)(2x + 3) = 17 - (10x + 1)(x – 6) 13. (x - 2)2 + x(x – 3) = 3(x + 4)(x - 3) - (x + 2)(x - 1) + 2 14. (3x - 1)2 – 5(x - 2) - (2x + 3)2 – (5x + 2)(x - 1) = 0 15. 2(x - 3)2 – 3(x + 1)2 + (x - 5)(x - 3) + 4(x2 – 5x + 1) = 4x? - 12 16.5(x - 2)? - 5(x + 3)2 + (2x - 1)(5x + 2) - 10x2 = 0 17. X* - 5x + 15 = x(x – 3) - 14 +5(x - 2) + 3(13 - 2x) 18. 3(5x-6)(3x + 2) - 6(3x + 4)(x - 1) – 3(9x + 1)(x - 2) = 0 19. 7(x - 4)+ - 3(x + 5)' = 4(x + 1)(x - 1) - 2 20.5(1 – X)" - 6(x² – 3x - 7) = x(x - 3) - 2x(x + 5) - 2
Respuestas a la pregunta
Respuesta:
(7-8)+(-75+8)(76336654+964457)
Vamos hallar el valor de X de cada una de las ecuaciones
¿Que son las ecuaciones?
Las ecuaciones son expresiones matemáticas que combinan símbolos, incógnitas y números, utilizadas para resolver problemas.
- Numero 1
X + 3(x - 1) = 6 - 4(2x + 3)
X + 3X - 3 = 6 -8X - 12
4X + 8X = 3 + 6 - 12
12X = - 3
X = -3/12
X = -1/4
- Numero 2
5(x - 1) + 16(2x + 3) = 3(2x - 7) - X
5X - 5 + 32X + 48 = 6X - 21 - X
5X + 32X - 6X + X = 5 - 48 - 21
32X = -64
X = -64/32
X = -2
- Numero 3
2(3x + 3) - 4(5x – 3) = x(x – 3) – x(x + 5)
6X + 6 -20X + 12 = X^2 - 3X - X^2 + 5
6X - 20X + 3X = - 6 - 12 + 5
11X = -13
X = -13/11
- Numero 4
184 - 7(2x + 5) = 301 + 6(x - 1) - 6
184 - 14X + 35 = 301 +6X - 6 - 6
-14X - 6X = -184 - 35 + 301 - 6 - 6
-20X = 70
X = -70/20
X = -7/2
- Numero 5
7(18 - x) – 6(3 – 5x) = -(7x+9) – 3(2x + 5) -12
126 -7X - 18 + 30X = -7X - 9 -6X - 15 - 12
-7X + 30X + 7X + 6X = - 126 +18 -9 - 15 -12
36X = -144
X = -144/36
X = -4
- Numero 6
3x(x – 3) + 5(x + 7) – x(x + 1) - 2(x2 + 7) + 4 = 0
3X^2 - 9X + 5X + 35 - X^2 - X - 2X^2 - 14 + 4 = 0
(3X^2 -X^2 - 2X^2) + (-9X + 5X - X) + (35 - 14 + 4) = 0
-5X + 25 = 0
-5X = - 25
X = 25/5
X = 5
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