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yuliya0508
@yuliya0508
July 2022
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x^{3} -3 x^{2} -8x+24=0 помогите решить?
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X³-3x²-8x+24=0
(x³-3x²)-8(x-3)=0
x²(x-3)-8(x-3)=0
(x-3)(x²-8)=0
(x-3)(x-√8)(x+√8)=0
(x-3)(x-2√2)(x+2√2)=0
x-3=0 или х-2√2=0 или х+2√2=0
х₁=3 х₂=2√2 х₃=-2√2
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Answers & Comments
Verified answer
X³-3x²-8x+24=0(x³-3x²)-8(x-3)=0
x²(x-3)-8(x-3)=0
(x-3)(x²-8)=0
(x-3)(x-√8)(x+√8)=0
(x-3)(x-2√2)(x+2√2)=0
x-3=0 или х-2√2=0 или х+2√2=0
х₁=3 х₂=2√2 х₃=-2√2