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

Toán Lớp 6: tìm x a. 7² x – 14 x = 7² × 10 – 70 b . 6² x – 5² x = 3 mũ 4 – 6 × 3² c . 7² x – 6² x = 13 × 2³ – 26 d . 2³ x + 5² x = 2 ( 5² + 2³ )

Toán Lớp 6: tìm x
a. 7² x – 14 x = 7² × 10 – 70
b . 6² x – 5² x = 3 mũ 4 – 6 × 3²
c . 7² x – 6² x = 13 × 2³ – 26
d . 2³ x + 5² x = 2 ( 5² + 2³ ) – 33
nhanh giúp mik với ạ

Comments ( 2 )

  1. a)
    7^2 x – 14x = 7^2 . 10 – 70
    => x (7^2  -14) = 49 . 10 – 70
    => x (49 – 14) = 490 – 70
    => 35x = 420
    => x = 420  :35
    => x = 12
    Vậy x=12
    b)
    6^2 x – 5^2 x = 3^4 – 6 . 3^2
    => x (6^2 – 5^2) = 81 – 6 . 9
    => x (36 – 25) = 81 – 54
    => 11x = 27
    => x = 27/11
    Vậy x=27/11
    c)
    7^2 x – 6^2 x = 13 . 2^3 – 26
    => x (7^2 – 6^2) = 13 . 8 – 26
    => x (49 – 36) = 104 -26
    => 13x = 78
    => x = 6
    Vậy x=6
    d)
    2^3 x + 5^2 x = 2 (5^2 + 2^3) – 33
    => x (2^3 + 5^2) = 2 (25 + 8) – 33
    => x (8 + 25) = 2 . 33 – 33
    => 33x = 33
    => x = 1
    Vậy x=1

  2. a. 7^{2}x – 14x = 7^{2} . 10 – 70
    ⇒ 49x – 14x = 49 . 10 – 70
    ⇒ ( 49 – 14)x = 420
    ⇒ 35x = 420
    ⇒ x = 12
    b. 6^{2}x – 5^{2}x = 3^{4} – 6 . 3^{2}
    ⇒ 36x – 25x  = 81 – 6 . 9
    ⇒ ( 36 – 25 )x = 27
    ⇒ 11x = 27
    ⇒ x = \frac{27}{11}
    c.7^{2}x – 6^{2}x = 13 . 2^{3} – 26
    ⇒ 49x – 36x = 13 . 8 – 26
    ⇒ ( 49 – 36)x = 420
    ⇒ 13x = 78
    ⇒ x = 6
    d. 2^{3}x + 5^{2}x = 2( 5^{2} + 2^{3} ) – 33
    ⇒ 8x + 25x = 2( 25 + 8 ) – 33
    ⇒ ( 8 + 25 )x = 2. 33 – 33
    ⇒ 33x = 33
    ⇒ x = 1

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