Ecuaciones de 1er y 2do grado
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ÁLGEBRA / 3º de secundaria I.E. RAMÓN CASTILLA I. Resolver las siguientes ecuaciones: NO OLVIDAR 1. (x + 2) 2 = x 2 + 2x + 6 2. (x + 3) 2 = (x - 2) 2 – 5 3. (x + 4) 2 + 6 = x 2 + 2x 4. (x + 1) 2 – (x - 1) 2 + 12 = 0 5. (x + 1) 2 + (x - 2) 2 = (x + 2) 2 + (x - 1) 2 6. (x + 3)(x - 3) – 2(x + 1) = x(x - 1) – 3 7. (x + 2)(x + 3) = x 2 + 4x + 10 8. (x + 2) 2 = 32 + (x - 2) 2 9. (x + 3) 2 = (x + 2) 2 + 17 10. (x + 2) 2 – x = 2x 2 – (x - 2) 2 11. (x + 6) 2 + 12 = x 2 + 3x + 1 12. (x - 5) 2 + 4 = x 2 – 7x 13. x 2 + 7x – 3 = (x + 5)(x + 4) 14. (x + 7)(x + 3) = (x + 8)(x + 1) 15. (x + 8)(x – 8) = x 2 – 4x 16. (x + 1)(x 2 – x + 1) – (x - 1)(x 2 + x + 1) = 2(x - 2) 17. (x - 2)(x 2 + 2x + 4) = x 3 – 4 18. (x + 3)(x 2 – 3x + 9) = 2x 3 1
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Transcript of Ecuaciones de 1er y 2do grado
ÁLGEBRA / 3º de secundaria I.E. RAMÓN CASTILLA
I. Resolver las siguientes ecuaciones: NO OLVIDAR
1. (x + 2)2 = x2 + 2x + 6
2. (x + 3)2 = (x - 2)2 – 5
3. (x + 4)2 + 6 = x2 + 2x
4. (x + 1)2 – (x - 1)2 + 12 = 0
5. (x + 1)2 + (x - 2)2 = (x + 2)2 + (x - 1)2
6. (x + 3)(x - 3) – 2(x + 1) = x(x - 1) – 3
7. (x + 2)(x + 3) = x2 + 4x + 10
8. (x + 2)2 = 32 + (x - 2)2
9. (x + 3)2 = (x + 2)2 + 17
10. (x + 2)2 – x = 2x2 – (x - 2)2
11. (x + 6)2 + 12 = x2 + 3x + 1
12. (x - 5)2 + 4 = x2 – 7x
13. x2 + 7x – 3 = (x + 5)(x + 4)
14. (x + 7)(x + 3) = (x + 8)(x + 1)
15. (x + 8)(x – 8) = x2 – 4x
16. (x + 1)(x2 – x + 1) – (x - 1)(x2 + x + 1) = 2(x - 2)
17. (x - 2)(x2 + 2x + 4) = x3 – 4
18. (x + 3)(x2 – 3x + 9) = 2x3
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ÁLGEBRA / 3º de secundaria I.E. RAMÓN CASTILLA
PARA LA CLASE TAREA DOMICILIARIAII. Resolver por diferencia de
cuadrados:19. x2 – 16 = 0
20. 4x2 – 9 = 0
21. 25x2 – 9 = 0
22. 9x2 – 1 = 0
23. 36x2 – 25 = 0
III.Resolver por factor común monomio:
24. x2 – x = 0
25. x2 – 5x = 0
26. 2x2 + 50x = 0
27. 3x2 – 24x = 0
28. 5x2 + 3x = 0
IV. Resolver por aspa simple:
29. x2 + 3x + 2 = 0
30. 3x2 + x - 4 = 0
31. x2 – 8x – 9 = 0
32. 2x2 – 5x + 2 = 0
33. 4x2 – 21x + 5 = 0
I. Resolver por diferencia de cuadrados:
1. 36x2 – 1 = 0
2. 25x2 – 4 = 0
3. 4x2 – 25 = 0
4. 16x2 – 36 = 0
5. 25x2 – 64 = 0II. Resolver por factor común
monomio:6. 2x2 + 3x = 0
7. 6x2 + 2x = 0
8. 7x2 – 5x = 0
9. 4x2 – 3x = 0
10. 9x2 – 10x = 0
III.Resolver por aspa simple:
11. x2 + 13x + 42 = 0
12. x2 + 12x + 32 = 0
13. x2 + 15x + 54 = 0
14. 3x2 – 10x + 3 = 0
15. 2x2 + 17x + 24 = 0
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ÁLGEBRA / 3º de secundaria I.E. RAMÓN CASTILLA
Resolver las siguientes ecuaciones, empleando la fórmula general:
1. 2x2 – 5x + 2 = 0
2. 5x2 + 4x – 1 = 0
3. 9x2 + 6x + 1 = 0
4. 25x2 – 10x + 1 = 0
5. 4x2 – 12x + 9 = 0
6. 5x2 – 12x + 4 = 0
7. 6x2 + 13x + 6 = 0
8. 2x2 + 17x + 21 = 0
9. x2 + 5x + 2 = 0
10. x2 + 7x + 5 = 0
11. x2 + 4x - 1 = 0
12. x2 + 8x + 9 = 0
13. 2x2 + 9x + 1 = 0
14. 3x2 + 7x + 2 = 0
15. 4x2 – 20x + 25 = 0
16. 2x2 – 7x + 3 = 0
17. 2x2 – x – 3 = 0
18. x2 – 14x + 40 = 0
19. x2 + 3x – 10 = 0
NO OLVIDAR
Si axSi ax22 + bx + c = 0 a + bx + c = 0 a ≠≠ 0 0
El valor de “x” será:
a2ac4bbx
2 −±−=
3
