• 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.
ax² + bx + c = 0
En resumen
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.
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.