6) √5 * √80 - √28/√63 = √400 - √28/63 = 20 - √4/9 = 20 - 2/3 = 58/3
7) (√5 - 2)² - (√5 - 1)(√5 - 3) = 5 - 4√5 + 4 - (5 - 3√5 - √5 + 3) = 5 - 4√5 + 4 - 5 + 3√5 + √5 - 3 = 1
8) 5 - х - (х - 1)/ 4 >= 0
20 - 4х - х + 1 / 4 >= 0
20 - 4х - х + 1 >= 0
-5х >= -21
х =< 4 1/5
2х - х/2 - 2 >= 0
4х - х - 4 >= 0
3х >= 4
Х >= 1 1/3
Х = [1 1/3; 4 1/5]
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Answers & Comments
6) √5 * √80 - √28/√63 = √400 - √28/63 = 20 - √4/9 = 20 - 2/3 = 58/3
7) (√5 - 2)² - (√5 - 1)(√5 - 3) = 5 - 4√5 + 4 - (5 - 3√5 - √5 + 3) = 5 - 4√5 + 4 - 5 + 3√5 + √5 - 3 = 1
8) 5 - х - (х - 1)/ 4 >= 0
20 - 4х - х + 1 / 4 >= 0
20 - 4х - х + 1 >= 0
-5х >= -21
х =< 4 1/5
2х - х/2 - 2 >= 0
4х - х - 4 >= 0
3х >= 4
Х >= 1 1/3
Х = [1 1/3; 4 1/5]