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

Toán Lớp 6: Tìm x , biết : `1^3 + 2^3 + … + 10^3 = ( x + 1 )^2`

Toán Lớp 6: Tìm x , biết :
1^3 + 2^3 + … + 10^3 = ( x + 1 )^2

Comments ( 2 )

  1. 1^{3} + 2^{3} + … + 10^{3} = (x + 1)^{2}
    <=>3025 = (x + 1)^{2}
    TH1 : (-55)^{2} = (x + 1)^{2}
    <=>x + 1 = -55
    <=>x = -55 – 1 =-56
    TH2 : 55^{2} = (x + 1)^{2}
    <=>x + 1 = 55
    <=>x = 55 – 1 = 54
    Vậy    x \in {-55;54}

  2. 1^3 + 2^3 + ……………………… + 10^3 = ( x + 1 )^2
    Ta có :
    1^3 + 2^3 + 3^3 + ………………………………. + 10^3 = (1 + 2 + 3 + ………………………….. + 10)^2
    <=> (1 + 2 + 3 + ………………………………… + 10)^2 = (x + 1)^2
    <=>55^2 = (-55)^2 = (x + 1)^2
    => \(\left[ \begin{array}{l}x+1=55\\x+1=-55\end{array} \right.\)
    => \(\left[ \begin{array}{l}x=54\\x=-56\end{array} \right.\)
    =>x in{54;-56}
    Vậy x in{54;-56}
    @Ki ng

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