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

Toán Lớp 7: 1, 2^x+1.2^2014=2^2015 2, 3^2(x+14)-5^2=52^2 (Lưu ý: ^=mũ; .= nhân

Toán Lớp 7: 1, 2^x+1.2^2014=2^2015
2, 3^2(x+14)-5^2=52^2
(Lưu ý: ^=mũ; .= nhân

Comments ( 2 )

  1. $\\$
    1,
    2^{x+1} . 2^{2014}=2^{2015}
    ->2^{x+1+2014}=2^{2015}
    ->2^{x+2015}=2^{2015}
    ->x+2015=2015
    ->x=2015 – 2015
    ->x=0
    Vậy x=0
    $\\$
    2,
    3^2 . (x + 14) – 5^2 = 52^2
    -> 9 . (x+14)-25=2704
    -> 9 . (x+14)=2704 + 25
    -> 9 . (x+14)=2729
    ->x +14=2729 : 9
    ->x+14=2729/9
    ->x=2729/9 – 14
    ->x=2603/9
    Vậy x=2603/9
     

  2. Giải đáp + Lời giải và giải thích chi tiết:
    1)
    2^x+1*2^{2014}=2^{2015}
    \to 2^x = 2^{2015} – 2^{2014}
    \to 2^x = (2-1)*2^{2014}
    \to 2^x = 2^{2014}
    \to x = 2014
    Vậy x \in {2014}
    2)
    3^2(x+14)-5^2=52^2
    \to 9(x+14) – 25 = 2704
    \to 9x+126-25=2704
    \to 9x + 101 = 2704
    \to 9x = 2603
    \to x = 2603/9
    Vậy x \in {2603/9}

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

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