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July 2022
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84 БАЛЛА
1)Решите уравнение а)1/9x^2-2/3x+1=0 б)x^2-x+1/4=0 в)4x^2-2x+1/4=0
2)Найдите корни а)5x^3=2x^2 б)x^4=-3x^3 в)3x^2=2x^3 г)-6x^2=3x
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ВикаВикторовна
Verified answer
1. а) 1/9 х² - 2/3 х +1=0 (*9)
х²-6х+9=0
(x-3)²=0
х-3=0
х=3
б) х²-х+ 1/4 = 0 (*4)
4х²-4х+1=0
(2х-1)²=0
2х-1=0
2х=1
х=1/2=0,5
в) 4х²-2х + 1/4=0 (*4)
16х²-8х+1=0
(4х-1)²=0
4х-1=0
4х=1
х=1/4 = 0,25
2. а) 5х³=2х² (:х²)
5х=2
х=2/5=0,4
б) х⁴= -3х³ (:х³)
х = -3
в) 3х²=2х³ (:х²)
3=2х
х=3/2 = 1 1/2 = 1,5
г) -6х²=3х (: -3х)
2х= -1
х= -1/2 = -0,5
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Answers & Comments
Verified answer
1. а) 1/9 х² - 2/3 х +1=0 (*9)х²-6х+9=0
(x-3)²=0
х-3=0
х=3
б) х²-х+ 1/4 = 0 (*4)
4х²-4х+1=0
(2х-1)²=0
2х-1=0
2х=1
х=1/2=0,5
в) 4х²-2х + 1/4=0 (*4)
16х²-8х+1=0
(4х-1)²=0
4х-1=0
4х=1
х=1/4 = 0,25
2. а) 5х³=2х² (:х²)
5х=2
х=2/5=0,4
б) х⁴= -3х³ (:х³)
х = -3
в) 3х²=2х³ (:х²)
3=2х
х=3/2 = 1 1/2 = 1,5
г) -6х²=3х (: -3х)
2х= -1
х= -1/2 = -0,5