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Exercises on Equations and Systems

Total questions: 96

Worksheet time: 5hrs 48mins

Name
Class
Date
1.

Resuelve las siguientes ecuaciones de segundo grado incompletas aplicando el método más conveniente en cada caso - no utilices la fórmula general - y verifica las soluciones obtenidas: 1) x^2 - 5x = 0

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2.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 2) x^2 - 16 = 0

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3.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 3) x^2 + 8x = 0

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4.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 4) x^2 - 49 = 0

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5.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 5) x^2 + 49 = 0

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6.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 6) 3x^2 - 9x = 0

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7.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 7) 2x^2 - 18 = 0

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8.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 8) 5x^2 + x = 0

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9.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 9) x^2 - 3 = 0

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10.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 10) x^2 = x

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11.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 11) x^2 + x = 0

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12.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 12) 4x^2 - 1 = 0

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13.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 13) -x^2 + 12x = 0

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14.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 14) x^2 = 10x

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15.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 15) 9x^2 - 4 = 0

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16.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 16) 3x^2 - 11x = 0

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17.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 17) x(x + 2) = 0

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18.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 18) x^2 + 16 = 0

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19.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 19) 25x^2 - 9 = 0

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20.

Solve the following incomplete second degree equations applying the most convenient method in each case - do not use the general formula - and check the solutions obtained: 20) x^2 - 8 = 0

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21.

Solve the equation x^2 - 4x + 4 = 0.

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22.

Solve the equation 3x^2 - 6x - 1 = 0.

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23.

Determine for what values of m the equation 2x^2 - 5x + m = 0 has a solution.

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24.

What is the discriminant of the equation 5x^2 - 3x + 1 = 0?

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25.

Calculate the value of the coefficient b in the equation 5x^2 + bx + 6 = 0 knowing that one of its solutions is 1. What is the other solution?

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26.

Invent a complete second-degree equation that has no solution.

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27.

Solve the equation 2x^2 + 5x = 5 + 3x - x^2.

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28.

Solve the equation 4x(x + 1) = 15.

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29.

Solve the equation -x(x + 2) + 3 = 0.

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30.

Solve the equation x(x + 3) - 2x = 4x + 4.

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31.

(2x-3)+5x=2(x+1) -1

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32.

(2x+2)(2x-2)=(x+1)^2+2(x+1)(x-1)

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33.

(2x+3)(2x-3)=(2x-3)^2+30x

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34.

(2x-3)^2+x^2=(3x+1)(3x-1)-6

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35.

(x+3)(x-3)-(x-2)^2=6+x(x-5)

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36.

(2x-4)^2-2x(x-2)=48

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37.

(2x-3)^2+x^2+6=(3x+1)(3x-1)

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38.

(3x-2)^2=(2x+3)(2x-3)+3(x+1)

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39.

(x-1)(x-2)=0

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40.

(x-1)(x-2)=6

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41.

(2x-3)(1-x)=0

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42.

x(x-2)=3

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43.

(x^2-4)(2x-6)(x+3)=0

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44.

x(x+2)=3(x+2)

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45.

(x+2)(x-2)=12

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46.

(x+3)(x-3)=3x-11

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47.

(2x-4)^2=0

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48.

x^4-16=0

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49.

x^4+16=0

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50.

x^6-64=0

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51.

(x+3)^7=0

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52.

2x^4x^4+1=0

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53.

(3x-2)^2=(2x+1)(2x-1)-2

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54.

0=3x+4x^2-3x^2

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55.

2x^4-12x^3=-x+1

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56.

xx-1=3x^3x-1

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57.

0=35x-x^2 3x^2

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58.

0=3x-4x^3x^2

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59.

x^1x^3x^6x^2=-x+1

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60.

12=13x^1x^2

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61.

1-2xx=x+7x-1

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62.

4x=3x^2-3x

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63.

8x^3=42x^6

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64.

x^2=1)6(x^4

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65.

22x^2x^7x^1=3124

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66.

2(x^2)^7(x^3)(x^3)=995

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67.

2(2x+1)(x+3)(x^3)=20

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68.

22(x^3)(x^1)(x^1)4x19x31=236

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69.

2(2x+1)(2x^1)(x+1)x(7x8)=6918

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70.

2(x^2)5x+6(x+3)(x^3)=263

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71.

2(x+2)(x^2)(x^3)x(11x)=436

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72.

36=7)062(x^5)113(x^2)

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73.

3=1)x^2(3

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74.

6=1)2x(3

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75.

2(x^2)(x^2)2x^1=6

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76.

(x^2-4)(x^2+1)(x-3)=0

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77.

(x^2-3x)(2x+3)(x-1)=0

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78.

x^3-x^2-6x=0

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79.

(3x^2-12)(x^2-x+2)(x^2+1)=0

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80.

(x^2-x-2)(x^2+9)=0

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81.

12x^3-2x^2-2x=0

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82.

(3x^2+12)(x^2-5x)(x-3)=0

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83.

x^4-16x^2=0

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84.

(x+1)^2(x-3)=0

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85.

(x+1)(x-2)(x^2-3x+4)=0

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86.

(x^2+x-6)(x^2-4x)(x^2+4)=0

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87.

x^2(x-2)=0

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88.

x^6-16x^2=0

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89.

(x-3)(2x^2-8)(x^2+5x)=0

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90.

(2x+5)(x^3-4x)(x^2-4x+4)=0

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91.

x^3=3x

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92.

x^2(2x-5)(x+2)=0

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93.

(x-3)(x+5)(x^2+1)=0

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94.

x^3+2x^2-15x=0

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95.

(x+2)^2(x-3)^2=0

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96.

(x-5)(x^2+4)=0

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