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

Toán Lớp 6: tìm x , biết x e N b) x^50 = x c) 3^2x-1=243 d) (5-3x)^4 – 1 =15

Toán Lớp 6: tìm x , biết x e N
b) x^50 = x
c) 3^2x-1=243
d) (5-3x)^4 – 1 =15

Comments ( 2 )

  1. b)
    x^50=x
    =>x^50-x=0
    =>x.x^49-x.1=0
    =>x.(x^49-1)=0
    +)x=0
    +)x^49-1=0
    =>x^49=0+1
    =>x^49=1
    =>x^49=1^49
    =>x=1
    Vậy x in {0;1}
    c)
    3^(2x-1)=243
    =>3^(2x-1)=3^5
    =>2x-1=5
    =>2x=5+1
    =>2x=6
    =>x=6:2
    =>x=3
    Vậy x=3
    d)
    (5-3x)^4-1=15
    =>(5-3x)^4=15+1
    =>(5-3x)^4=16
    =>(5-3x)^4=(+-2)^4
    =>5-3x=+-2
    +)5-3x=2
    =>3x=5-2
    =>3x=3
    =>x=3:3
    =>x=1
    +)5-3x=-2
    =>3x=5-(-2)
    =>3x=7
    =>x=7:3
    =>x=7/3
    Vậy x in{1;7/3}

  2. Giải đáp + Lời giải và giải thích chi tiết:
    b)
    x^{50} = x
    x ∈ {0, 1}
    c)
    3^{2x-1} = 243
    3^{2x-1} = 3^5
    => 2x – 1 = 5
    => 2x = 5 + 1
    => 2x = 6
    => x = 6:2
    => x = 3
    d)
    (5-3x)^4 – 1 = 15
    (5-3x)^4 = 15 + 1
    (5-3x)^4 = 16
    (5-3x)^4 = 2^4 = (-2)^4
    TH1:
    => 5-3x = 2
    =>3x = 5 – 2
    => 3x = 3
    => x = 3:3
    => x = 1
    TH2:
    => 5-3x = -2
    =>3x = 5 + 2
    => 3x = 7
    => x = 7:3
    => x = 7/3
    Vậy x ∈ {1, 7/3}
     

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