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BLUO
@BLUO
September 2021
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Алгебра!!!
Иррациональное уравнение
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mikael2
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√15-x+√3-x=6 15-x≥0 x≤15 3-x≥0 x≤3
15-x+3-x+2√(15-x)(3-x)=36
18+2x=-2√(15-x)(3-x)
324+72x+4x²=4(15-x)(3-x)
324+72x+4x²=4(45-3x-15x+x²)=180-12x-60x+4x²
324-180=-144x 144x=-144 x=-1
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Answers & Comments
Verified answer
√15-x+√3-x=6 15-x≥0 x≤15 3-x≥0 x≤315-x+3-x+2√(15-x)(3-x)=36
18+2x=-2√(15-x)(3-x)
324+72x+4x²=4(15-x)(3-x)
324+72x+4x²=4(45-3x-15x+x²)=180-12x-60x+4x²
324-180=-144x 144x=-144 x=-1