Respuesta:
[tex]\color{cyan}\boxed{\colorbox{blue}{¡Hola!}}[/tex]
a) 3/x = 1/2
3/x = 1/2, x ≠ 0
6 = x
x = 6, x ≠ 0
x = 6
b) 4/5x - 3 = 0
4/5x - 3 = 0, x ≠ 0
4/5x = 3
4 = 15x
15x = 4
x = 4/15, x ≠ 0
x = 4/15
c) 1/2x + 3/5x = 11/x²
1/2x + 3/5x = 11/x², x ≠ 0
1/2x + 3/5x - 11/x² = 0
5x + 6x - 110/10x² = 0
11x - 110/10x² = 0
11x - 110 = 0
11x = 110
x = 10, x ≠ 0
x = 10
d)
x - 4/ x - 1 = 1 - x/ x + 1
x1 = - 1/2, x2 = 3
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Respuesta:
[tex]\color{cyan}\boxed{\colorbox{blue}{¡Hola!}}[/tex]
a) 3/x = 1/2
3/x = 1/2, x ≠ 0
6 = x
x = 6, x ≠ 0
x = 6
b) 4/5x - 3 = 0
4/5x - 3 = 0, x ≠ 0
4/5x = 3
4 = 15x
15x = 4
x = 4/15, x ≠ 0
x = 4/15
c) 1/2x + 3/5x = 11/x²
1/2x + 3/5x = 11/x², x ≠ 0
1/2x + 3/5x - 11/x² = 0
5x + 6x - 110/10x² = 0
11x - 110/10x² = 0
11x - 110 = 0
11x = 110
x = 10, x ≠ 0
x = 10
d)
x - 4/ x - 1 = 1 - x/ x + 1
x1 = - 1/2, x2 = 3