1)
l 5 - 2x l = 3x -12
si 5 - 2x = 3x - 12
17 = 5x
x₁= 17/5
si 5 - 2x = -3x + 12
x= 7
en la familia hay 7 integrantes
2)
35x²+ 28x + 14= 5 l 6x²+ x - 2 l
7x² +28x/5 +14/5 = l 6x²+ x - 2 l
si 7x² +28x/5 +14/5 = 6x²+ x - 2
x² +23x/5 + 4/5 = 0
5x² +23x +4 =0
(5x+8)(x+3) = 0
5x +8 = 0
x = -8/5
x +3= 0
x = -3
si -7x² - 28x/5 - 14/5 = 6x²+ x - 2
0 = 13x² +33x/5 +4/5
0= 65x² +33x + 4
0= (13x +4)(5x +1)
13x +4= 0
x = -4/13
5x+1 = 0
x = -1/5
piden la suma de las dos menores soluciones
-8/5 + -3
-23/5
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1)
l 5 - 2x l = 3x -12
si 5 - 2x = 3x - 12
17 = 5x
x₁= 17/5
si 5 - 2x = -3x + 12
x= 7
en la familia hay 7 integrantes
2)
35x²+ 28x + 14= 5 l 6x²+ x - 2 l
7x² +28x/5 +14/5 = l 6x²+ x - 2 l
si 7x² +28x/5 +14/5 = 6x²+ x - 2
x² +23x/5 + 4/5 = 0
5x² +23x +4 =0
(5x+8)(x+3) = 0
5x +8 = 0
x = -8/5
x +3= 0
x = -3
si -7x² - 28x/5 - 14/5 = 6x²+ x - 2
0 = 13x² +33x/5 +4/5
0= 65x² +33x + 4
0= (13x +4)(5x +1)
13x +4= 0
x = -4/13
5x+1 = 0
x = -1/5
piden la suma de las dos menores soluciones
-8/5 + -3
-23/5