1)
4х² - 12х = 0
4х * (х - 3)
4х = 0 х - 3 = 0
х1 = 0 х2 = 3
2)
х*(х - 2) + 5*(х - 2) = 0,
(х - 2)*(х + 5) = 0,
х - 2 = 0 х + 5 = 0,
х1 = 2 х2 = - 5
3)
(2х - 3)(х + 7) = (х - 4)(2х + 3) + 3
2х² + 14х - 3х - 21 = 2х² + 3х - 8х - 12 + 3,
14х - 3х - 3х + 8х = -12 + 3 + 21,
16х = 12,
х = 12/16,
х = 3/4 (или х = 0,75)
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Answers & Comments
1)
4х² - 12х = 0
4х * (х - 3)
4х = 0 х - 3 = 0
х1 = 0 х2 = 3
2)
х*(х - 2) + 5*(х - 2) = 0,
(х - 2)*(х + 5) = 0,
х - 2 = 0 х + 5 = 0,
х1 = 2 х2 = - 5
3)
(2х - 3)(х + 7) = (х - 4)(2х + 3) + 3
2х² + 14х - 3х - 21 = 2х² + 3х - 8х - 12 + 3,
14х - 3х - 3х + 8х = -12 + 3 + 21,
16х = 12,
х = 12/16,
х = 3/4 (или х = 0,75)