Respuesta:
Por diferencia de cuadrados:
1. 9x² - 1 = 0
(3x+1)(3x-1)=0
3x+1=0 v 3x-1=0
3x = -1 v 3x = 1
x = -1/3 v x = 1/3
2. 36x² - 25 = 0
(6x-5)(6x+5) = 0
6x - 5 = 0 v 6x + 5 = 0
6x = 5 v 6x = -5
x = 5/6 v x = -5/6
Factor común monomio:
3. 3x² - 24x = 0
3x(x - 8) = 0
3x = 0 v x - 8 = 0
x = 0 v x = 8
4. 5x² + 3x = 0
x(5x + 3) = 0
x = 0 v 5x + 3 = 0
x = 0 v 5x = -3
x = 0 v x = -3/5
Aspa simple:
5. x² + 3x + 2 = 0
x 2
x 1
(x + 2)(x + 1) = 0
x = -2 v x = -1
6. 3x² + x - 4 = 0
3x 4
x -1
(3x + 4)(x - 1)= 0
3x = -4 v x = 1
x = -4/3 v x = 1
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Verified answer
Respuesta:
Por diferencia de cuadrados:
1. 9x² - 1 = 0
(3x+1)(3x-1)=0
3x+1=0 v 3x-1=0
3x = -1 v 3x = 1
x = -1/3 v x = 1/3
2. 36x² - 25 = 0
(6x-5)(6x+5) = 0
6x - 5 = 0 v 6x + 5 = 0
6x = 5 v 6x = -5
x = 5/6 v x = -5/6
Factor común monomio:
3. 3x² - 24x = 0
3x(x - 8) = 0
3x = 0 v x - 8 = 0
x = 0 v x = 8
4. 5x² + 3x = 0
x(5x + 3) = 0
x = 0 v 5x + 3 = 0
x = 0 v 5x = -3
x = 0 v x = -3/5
Aspa simple:
5. x² + 3x + 2 = 0
x 2
x 1
(x + 2)(x + 1) = 0
x = -2 v x = -1
6. 3x² + x - 4 = 0
3x 4
x -1
(3x + 4)(x - 1)= 0
3x = -4 v x = 1
x = -4/3 v x = 1