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Совёнок8457
@Совёнок8457
July 2022
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Помогите решить. Алгебра, 8 класс
1/(x-1)+1/(x2-1)=5/8
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Решение:
1) 1/(х-1) + 1/(х-1)*(х+1) = 5/8
2) х+1 +1/ (х-1) * (х +1) = 5/8
3) (х+2) * 8 = 5*( х+1)* (х - 1)
4) 8х + 16 = 5 (х^2 -1)
5) 8х + 16 = 5х^2 -5
-5х^2 +8х +21 = 0
D = 64 - 4*(-5)*21 = 484
x1 = -8 + 22/ -10 = -1,4
х2 = -8 - 22/ -10 = 3
Ответ: Х1 = -1,4; Х2 = 3;
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Answers & Comments
1) 1/(х-1) + 1/(х-1)*(х+1) = 5/8
2) х+1 +1/ (х-1) * (х +1) = 5/8
3) (х+2) * 8 = 5*( х+1)* (х - 1)
4) 8х + 16 = 5 (х^2 -1)
5) 8х + 16 = 5х^2 -5
-5х^2 +8х +21 = 0
D = 64 - 4*(-5)*21 = 484
x1 = -8 + 22/ -10 = -1,4
х2 = -8 - 22/ -10 = 3
Ответ: Х1 = -1,4; Х2 = 3;