Ответ:
1) √3х + 1 = х - 1
3х + 1 = х² - 2х + 1
3х = х² - 2х
3х - х² + 2х = 0
5х - х² = 0
х * ( 5 - х ) = 0
х = 0
х = 5
2) √2х² + 5х + 4 - 2х = 2
√2х² + 5х + 4 = 2 + 2х
2х² + 5 + 4 = 4 + 8х + 4х²
2х² + 5х = 8х + 4х²
2х² + 5х - 8х - 4х² = 0
-2х² - 3х = 0
х * ( 2х + 3 ) = 0
х = -3/2
3) √х + 8 - √5х + 20 = 2
√х + 8 = 2 + √5х + 20
х + 8 = 4 + 4 √5х + 20 + 5х + 20
-4 √5х + 20 = 24 + 5х - х - 8
√5х + 20 = -4 - х
5х + 20 = ( 4 + х ) ²
5 ( х + 4 ) = ( 4 + х ) ²
( х + 4 ) * ( 5 - 4 - х ) = 0
( х + 4 ) * ( 1 - х ) = 0
х = -4
х = 1
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Answers & Comments
Ответ:
1) √3х + 1 = х - 1
3х + 1 = х² - 2х + 1
3х = х² - 2х
3х - х² + 2х = 0
5х - х² = 0
х * ( 5 - х ) = 0
х = 0
х = 5
2) √2х² + 5х + 4 - 2х = 2
√2х² + 5х + 4 = 2 + 2х
2х² + 5 + 4 = 4 + 8х + 4х²
2х² + 5х = 8х + 4х²
2х² + 5х - 8х - 4х² = 0
-2х² - 3х = 0
х * ( 2х + 3 ) = 0
х = 0
х = -3/2
3) √х + 8 - √5х + 20 = 2
√х + 8 = 2 + √5х + 20
х + 8 = 4 + 4 √5х + 20 + 5х + 20
-4 √5х + 20 = 24 + 5х - х - 8
√5х + 20 = -4 - х
5х + 20 = ( 4 + х ) ²
5 ( х + 4 ) = ( 4 + х ) ²
( х + 4 ) * ( 5 - 4 - х ) = 0
( х + 4 ) * ( 1 - х ) = 0
х = -4
х = 1