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Prohoji
@Prohoji
July 2022
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Решите уравнение (892)
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sangers1959
Verified answer
1/(x-3)-14/(x³-x²-9x-9)=1/(x²+2x-3)
1/(x-3)-14/(((x²(x-1)-9(x-1))=1/((x-1)(x+3))
1/(x-3)-14/((x²-9)(x-1))=1/((x-1)(x+3)
1/(x-3)-14/((x-3)(x+3)(x-1))=1/((x-1)(x+3))
ОДЗ: x-3≠0 x≠3 x+3≠0 x≠-3 x-1≠= x≠1
(x+3)(x-1)-14=x-3
x²+2x-3-14-x+3=0
x²+x-14=0
x₁=(-1+√57)/2 x₂=(-1-√57)/2.
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Answers & Comments
Verified answer
1/(x-3)-14/(x³-x²-9x-9)=1/(x²+2x-3)1/(x-3)-14/(((x²(x-1)-9(x-1))=1/((x-1)(x+3))
1/(x-3)-14/((x²-9)(x-1))=1/((x-1)(x+3)
1/(x-3)-14/((x-3)(x+3)(x-1))=1/((x-1)(x+3))
ОДЗ: x-3≠0 x≠3 x+3≠0 x≠-3 x-1≠= x≠1
(x+3)(x-1)-14=x-3
x²+2x-3-14-x+3=0
x²+x-14=0
x₁=(-1+√57)/2 x₂=(-1-√57)/2.