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

Toán Lớp 6: Bài1 a)2(2x-7)^2=18 b)2^3.x+2015^0.x=995-15:3 c)(7x-11)^3=27

Toán Lớp 6: Bài1
a)2(2x-7)^2=18
b)2^3.x+2015^0.x=995-15:3
c)(7x-11)^3=27

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a) 2.(2x-7)^2=18
    =>(2x-7)^2=9
    =>(2x-7)^2=(+-3)^2
    =>2x-7=3 hoặc $2x-7=-3$
    =>2x=10 hoặc 2x=4
    =>x=5 hoặc x=2.
    Vậy x in{5;2}.
    b) 2^3. x+2015^0. x=995-15/3
    =>8x+x=995-5
    =>9x=990
    =>x=110
    Vậy x=110.
    c) (7x-11)^3=27
    =>(7x-11)^3=3^3
    =>7x-11=3
    =>7x=14
    =>x=2
    Vậy x=2.

  2. a,
    2 . (2x – 7)^2 = 18
    => (2x – 7)^2 = 18 : 2
    => (2x – 7)^2 = 9
    => \(\left[ \begin{array}{l}(2x – 7)^2 = (-3)^2\\(2x – 7)^2 = 3^2\end{array} \right.\) 
    => \(\left[ \begin{array}{l}2x – 7 = -3\\2x – 7 = 3\end{array} \right.\) 
    => \(\left[ \begin{array}{l}x=4\\x=5\end{array} \right.\)
    Vậy x ∈ {2 ; 5}
    b,
    2^3 . x + 2015^0 . x = 995 – 15 : 3
    => 2^3 . x + x  = 995 – 5
    => (2^3 + 1) . x = 990
    => 9 . x = 990
    => x = 990 : 9
    => x = 110
    Vậy x = 110
    c,
    (7x – 11)^3 = 27
    => (7x – 11)^3 = 3^3
    => 7x – 11 = 3
    => 7x = 3 + 11
    => 7x = 14
    => x = 14 : 7
    => x = 2
    Vậy x = 2
     

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