• Resuelve las siguientes ecuaciones cuadráticas. 1. x2 + 9x + 20 = 0 2. 2x2 + 4x = 0 3. 6x2 + 14x = - 4 4. 4x2 -64 = 0 5. x2 -2x -24 = 0 6. x2 + 3x = 0 7. 6x2 + 5x -4= 0 8. x2 - 36= 0 9. x2 - x = 56 10. 3x2 -6x = 0 11. 12x2 + 16x - 3 = 0 12. 2x2 + 50 = 0 13. x2 + 8 x +12 = 0 14. x2 - x = 0 15. 9x2 + 12x + 4 = 0 16. 2x2 - 200 = 0

Respuesta :

1.x2 + 9x + 20 = 0 (x+5)(x+4)=0 X1=-5  x2=-4 2. 2x2 + 4x = 0 2x(x+2)=0 X1=0   x2=-2
3. 6x2 + 14x = - 4
6x2+14x+4=0 (3x+1)(2x+4)=0
x1=1/3   x2=2

4. 4x2 -64 = 0
(2x+8)(2x-8)=0 X1=4    x2=-4
5. x2 -2x -24 = 0
(x-6)(x+4)=0
x1=6  x2=-4

6. x2 + 3x = 0
X(x+3)=0 X1=0  x2=-3
7. 6x2 + 5x -4= 0
(3x+4)(2x-1)=0
X1=4/3    x2=-1/2
8. x2 - 36= 0
(x+6)(x-6)=0 X1=6   x2=-6
9. x2 - x = 56
(x-8)(x+7)=0 X1=8   x2=-7
10. 3x2 -6x = 0
3x(x-2)=0 X1=0   x2=2
11. 12x2 + 16x - 3 = 0
(6x-1)(2x+3)=0 X1=1/6   x2=-3/2
12. 2x2 + 50 = 0
(2x+10)(2x-10)=0 X1=-5  x2=5
13. x2 + 8 x +12 = 0
(x+6)(x+2)=0 X1=-6  x2=-2
14. x2 - x = 0
X(x-1)=0 X1=0   x2=1
15. 9x2 + 12x + 4 = 0
(3x+2)(3x+2)=0 X1=-2/3  x2=-2/3
16. 2x2 - 200 = 0
2(x+10)(x-10)=0 (2x+20)(2x-20)=0 X1=-10  x2=10