已知:x=根号2-1分之3,求x+2分之x^2-x-6

学习 时间:2026-05-30 14:11:18 阅读:8920
已知:x=根号2-1分之3,求x+2分之x^2-x-6

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2026-05-30 14:11:18

已知:x=根号2-1分之3x=3(√2+1)/(√2-1)(√2+1)x=3√2+3x+2分之x^2-x-6=(x-3)(x+2)/(x-2)=(3√2+3-3)(3√2+3+2)/(3√2+3-2)=(3√2)(3√2+5)/(3√2+1)=(3√2)(3√2+5)(3√2-1)/(3√2+1)(3√2-1)=(18+15√2)(3√2-1)/(18-1)=(54√2-18+90-15√2)/(18-1)=(39√2+72)/17

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  • 孤独的花瓣
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    2026-05-30 14:11:18

    已知:x=根号2-1分之3x=3(√2+1)/(√2-1)(√2+1)x=3√2+3x+2分之x^2-x-6=(x-3)(x+2)/(x-2)=(3√2+3-3)(3√2+3+2)/(3√2+3-2)=(3√2)(3√2+5)/(3√2+1)=(3√2)(3√2+5)(3√2-1)/(3√2+1)(3√2-1)=(18+15√2)(3√2-1)/(18-1)=(54√2-18+90-15√2)/(18-1)=(39√2+72)/17

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