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karinana21
@karinana21
May 2021
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Помогите, пожалуйста, с алгеброй :(
Любое из уравнений, прошу
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лида251
8/х - 4/(х-1) + 2 = 1/(х - х²)
8/х - 4/(х-1) + 2 = - 1/ х(х-1) | * x(x-1)
x≠0 ; х≠ 1
8(х-1) - 4х + 2х(х-1) = - 1
8х - 8 - 4х + 2х² - 2х + 1 =0
2х² +2х - 7 = 0
D = 2² - 4*2*(-7) = 4 + 56 = 60 = (2√15)²
D>0 - два корня уравнения
х₁ = ( - 2 - 2√15) / (2*2) = -2(1+√15)/4 = -¹/₂ * (1+√15) = - 0,5(1 + √15)
х₂ = ( - 2 +2√15) /( 2*2) = - 2(1 -√15)/4 = -0,5(1-√15)
√(3/(5х-7) ) = 1/9
5х - 7≠0 ; х≠1,4
( √(3/(5х-7) ) ² = (1/9)²
3/ (5х - 7) = 1/81
1*(5х - 7) = 81*3
5х - 7 = 243
5х = 243 + 7
5х = 250
х = 250/5
х = 50
0 votes
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zhenyaM2002
Verified answer
√3/5х-7=1/9
Возводим обе части в квадрат
3/5х-7=1/81
81×3=5х-7
243=5х-7
-5х=-7-243
-5х=-250
х=250: 5
х=50
0 votes
Thanks 0
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Answers & Comments
8/х - 4/(х-1) + 2 = - 1/ х(х-1) | * x(x-1)
x≠0 ; х≠ 1
8(х-1) - 4х + 2х(х-1) = - 1
8х - 8 - 4х + 2х² - 2х + 1 =0
2х² +2х - 7 = 0
D = 2² - 4*2*(-7) = 4 + 56 = 60 = (2√15)²
D>0 - два корня уравнения
х₁ = ( - 2 - 2√15) / (2*2) = -2(1+√15)/4 = -¹/₂ * (1+√15) = - 0,5(1 + √15)
х₂ = ( - 2 +2√15) /( 2*2) = - 2(1 -√15)/4 = -0,5(1-√15)
√(3/(5х-7) ) = 1/9
5х - 7≠0 ; х≠1,4
( √(3/(5х-7) ) ² = (1/9)²
3/ (5х - 7) = 1/81
1*(5х - 7) = 81*3
5х - 7 = 243
5х = 243 + 7
5х = 250
х = 250/5
х = 50
Verified answer
√3/5х-7=1/9Возводим обе части в квадрат
3/5х-7=1/81
81×3=5х-7
243=5х-7
-5х=-7-243
-5х=-250
х=250: 5
х=50