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

Toán Lớp 7: Cho x+(1/x)=10. tính S=x^2+1/(x^2)

Toán Lớp 7: Cho x+(1/x)=10. tính S=x^2+1/(x^2)

Comments ( 2 )

  1. Ta có : x+1/x=10
    to (x+1/x)^2=10^2
    to (x+1/x)(x+1/x)=100
    to x^2+x . 1/x + 1/x . x + 1/(x^2)=100
    to x^2+2+1/(x^2)=100
    to x^2+1/(x^2)=100-2
    to x^2+1/(x^2)=98
    Vậy S=98
     

  2. Giải đáp :
    S=x^2+1/x^2=98
    Lời giải và giải thích chi tiết :
    S=x^2+1/x^2
    ->S+2=x^2+2+1/x^2
    ->S+2=x^2+2*x^2*1/x^2+1/x^2
    ->S+2=(x+1/x)^2
    ->S+2=10^2
    ->S+2=100
    ->S=98
    Vậy : S=x^2+1/x^2=98

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

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