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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 8: (x – 2)^3 – x(x + 1)(x – 1) + 6x^2 = 5

Toán Lớp 8: (x – 2)^3 – x(x + 1)(x – 1) + 6x^2 = 5

Comments ( 2 )

  1. Giải đáp:
    (x – 2)^3 – x(x + 1)(x – 1) + 6x^2 = 5$\\$<=> x^3 – 6x^2 + 12x – 8 – x(x^2 -1) + 6x^2 = 5$\\$<=> x^3 – 6x^2 + 12x – 8 – x^3 + x + 6x^2 – 5 = 0$\\$<=> 13x – 13 = 0$\\$<=> 13x = 13$\\$<=> x= 1$\\$Vậy S={1}

  2. Giải đáp:
    $x = 1$
    Lời giải và giải thích chi tiết:
    \(\begin{array}{l}
    \quad (x-2)^3 – x(x+1)(x-1)+ 6x^2 = 5\\
    \Leftrightarrow x^3 -6x^2 + 12x – 8 – (x^3 – x) + 6x^2 – 5 =0\\
    \Leftrightarrow 13x-13 =0\\
    \Leftrightarrow 13x = 13\\
    \Leftrightarrow x = 1\\
    \text{Vậy phương trình có nghiệm $x = 1$}
    \end{array}\)

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222-9+11+12:2*14+14 = ? ( )