Объяснение:
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№1
2(х - 2)² - 3(х - 2) + 1 = 0
2(х² - 4х + 4) - 3х + 6 + 1 = 0
2х² - 8х + 8 - 3х + 7 = 0
2х² - 11х + 15 = 0
Д = (-11)² - 4 * 2 * 15 = 121 - 120 = 1
√Д = √1 = 1
х1 = (11-1)/4 = 10/4 = 2,5
х2 = (11+1)/4 = 12/4 = 3
№2
(х - 2)(х + 2) - 2х(х - 3) = 6 - х
х² - 4 - 2х² + 6х = 6 - х
-х² + 6х - 4 - 6 + х = 0
-х² + 7х - 10 = 0 | * -1
х² - 7х + 10 = 0
Д = (-7)² - 4 * 1 * 10 = 49 - 40 = 9
√Д = √9 = 3
х1 = (7 - 3)/2 = 4/2 = 2
х2 = (7 + 3)/2 = 10/2 = 5
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Verified answer
Объяснение:
........................
Объяснение:
№1
2(х - 2)² - 3(х - 2) + 1 = 0
2(х² - 4х + 4) - 3х + 6 + 1 = 0
2х² - 8х + 8 - 3х + 7 = 0
2х² - 11х + 15 = 0
Д = (-11)² - 4 * 2 * 15 = 121 - 120 = 1
√Д = √1 = 1
х1 = (11-1)/4 = 10/4 = 2,5
х2 = (11+1)/4 = 12/4 = 3
№2
(х - 2)(х + 2) - 2х(х - 3) = 6 - х
х² - 4 - 2х² + 6х = 6 - х
-х² + 6х - 4 - 6 + х = 0
-х² + 7х - 10 = 0 | * -1
х² - 7х + 10 = 0
Д = (-7)² - 4 * 1 * 10 = 49 - 40 = 9
√Д = √9 = 3
х1 = (7 - 3)/2 = 4/2 = 2
х2 = (7 + 3)/2 = 10/2 = 5