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

Toán Lớp 7: Tìm `x` `(4/13 .6/5 +4/13. 2/5).(2x+1)^2=10/13`

Toán Lớp 7: Tìm x
(4/13 .6/5 +4/13. 2/5).(2x+1)^2=10/13

Comments ( 2 )

  1. $\\$
    (4/13 . 6/5 + 4/13 . 2/5) . (2x+1)^2=10/13
    -> 4/13 . (6/5+2/5) . (2x+1)^2=10/13
    -> 4/13 . 8/5 . (2x+1)^2=10/13
    -> 32/65 . (2x+1)^2=10/13
    ->(2x+1)^2=10/13 . 65/32
    ->(2x+1)^2=25/16
    TH2 :
    (2x+1)^2=(5/4)^2
    ->2x+1=5/4
    ->2x=5/4-1=5/4-4/4=1/4
    ->x=1/4 . 1/2 = 1/8
    TH2 :
    (2x+1)^2=((-5)/4)^2
    ->2x+1=(-5)/4
    ->2x=(-5)/4-1=(-5)/4-4/4=(-9)/4
    ->x=(-9)/4 . 1/2 = (-9)/8
    Vậy x=1/8 hoặc x=(-9)/8
     

  2. Giải đáp$\quad+\quad$Giải thích:
    (4/13 . 6/5+4/13 . 2/5).(2x+1)^2=10/13
    ->[4/13 . (6/5+2/5)] . (2x+1)^2=10/13
    ->[4/13 . ((6+2)/5)] . (2x+1)^2=10/13
    ->(4/13 . 8/5) . (2x+1)^2=10/13
    ->((4.8)/(13.5)) . (2x+1)^2=10/13
    ->32/65 . (2x+1)^2=10/13
    ->(2x+1)^2=10/13 :32/65
    ->(2x+1)^2=10/13 . 65/32
    ->(2x+1)^2=(10.65)/(13.32)
    ->(2x+1)^2=650/416
    ->(2x+1)^2=25/16
    ->(2x+1)^2=(5/4)^2
    ->2x+1=+-5/4
    TH 1:
    2x+1=5/4
    ->2x=5/4-1
    ->2x=5/4-1/1
    ->2x=5/4-4/4
    ->2x=(5-4)/4
    ->2x=1/4
    ->x=1/4 :2
    ->x=1/4 . 1/2
    ->x=(1.1)/(4.2)
    ->x=1/8
    TH 2:
    2x+1=(-5)/4
    ->2x=(-5)/4-1
    ->2x=(-5)/4-1/1
    ->2x=(-5)/4-4/4
    ->2x=((-5)-4)/4
    ->2x=(-9)/4
    ->x=(-9)/4 :2
    ->x=(-9)/4 . 1/2
    ->x=((-9).1)/(4.2)
    ->x=(-9)/8
    Vậy x=1/8;x=(-9)/8
     

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