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YaDvoishnik228
@YaDvoishnik228
July 2022
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Помогите пожалуйста решить иррациональное уравнение
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Lesben
5x+√(2-x)=6-√(2-x) , 2-x≥0, x≤2
√(2-x)+√(2-x)=6-5x
2√(2-x)=6-5x /²
4(2-x)=36-60x+25x²
8-4x=36-60x+25x²
25x²-56x+28=0
D=(-56)²-4.25.28=3136-2800=336=16.21
√D=√(16.21)=4√21
x1=(56+4√21)/50=(28+2√21)/25
x2=(56-4√21)/50=(28-2√21)/25
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YaDvoishnik228
16.21 - это что?
Lesben
16.21=336
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Answers & Comments
√(2-x)+√(2-x)=6-5x
2√(2-x)=6-5x /²
4(2-x)=36-60x+25x²
8-4x=36-60x+25x²
25x²-56x+28=0
D=(-56)²-4.25.28=3136-2800=336=16.21
√D=√(16.21)=4√21
x1=(56+4√21)/50=(28+2√21)/25
x2=(56-4√21)/50=(28-2√21)/25