1)
6х - 2/х + 8 = 0
х ≠ - 8
6х - 2 = 0
6х = 2
х = 1/3, х ≠ - 8
х = 1/3
2)
х² - 16/х - 4 = 0
х ≠ 4
(х - 4) • (х + 4)/ х - 4 = 0
х + 4 = 0
х = - 4, х ≠ 4
х = - 4
3)
2х² + 6х/х = 0
х ≠ 0
х • (2х + 6)/х = 0
2х + 6 = 0
2х = - 6
х = - 3,х ≠ 0
х = - 3
4)
х²/х + 9 =81/ х + 9
х ≠ - 9
х² = 81
х = ± 9
х = - 9 , х ≠ - 9
х = 9
5)
4 - 5х + 2/х = 0
- 5х + 2/х = - 4
5х + 2 = 4х
5х - 4х = - 2
х = - 2, х ≠ 0
х = - 2
6)
3 / х - 2 = 5/х + 3
х ≠ 2,х ≠ - 3
3 (х + 3)= 5(х - 2)
3х + 9 = 5х - 10
3х - 5х = - 10 - 9
- 2х = - 19
х = 19/2,х ≠ 2, х ≠ - 3
х = 19/2
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Answers & Comments
1)
6х - 2/х + 8 = 0
х ≠ - 8
6х - 2 = 0
6х = 2
х = 1/3, х ≠ - 8
х = 1/3
2)
х² - 16/х - 4 = 0
х ≠ 4
(х - 4) • (х + 4)/ х - 4 = 0
х + 4 = 0
х = - 4, х ≠ 4
х = - 4
3)
2х² + 6х/х = 0
х ≠ 0
х • (2х + 6)/х = 0
2х + 6 = 0
2х = - 6
х = - 3,х ≠ 0
х = - 3
4)
х²/х + 9 =81/ х + 9
х ≠ - 9
х² = 81
х = ± 9
х = - 9 , х ≠ - 9
х = 9
х = 9
5)
4 - 5х + 2/х = 0
х ≠ 0
- 5х + 2/х = - 4
5х + 2 = 4х
5х - 4х = - 2
х = - 2, х ≠ 0
х = - 2
6)
3 / х - 2 = 5/х + 3
х ≠ 2,х ≠ - 3
3 (х + 3)= 5(х - 2)
3х + 9 = 5х - 10
3х - 5х = - 10 - 9
- 2х = - 19
х = 19/2,х ≠ 2, х ≠ - 3
х = 19/2