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

Toán Lớp 8: 1, Tìm x, biết: a, x^3-9x^2+27x-27=-125 b, 64x^3+48x^2-12x+1=27 c, 4x^2-4x+1=9 d, (x+4)^3-x^2(x+12)=16 CTLHN LUÔN @@

Toán Lớp 8: 1, Tìm x, biết:
a, x^3-9x^2+27x-27=-125
b, 64x^3+48x^2-12x+1=27
c, 4x^2-4x+1=9
d, (x+4)^3-x^2(x+12)=16
CTLHN LUÔN @@

Comments ( 1 )

  1. a) x³ – 9x² + 27x -27 = -125 
    ⇒ x³ – 3 . x² . 3 + 3 . x . 3² – 3³ = ( – 5 )³
    ⇒ ( x –  3 ) ³ = ( – 5 ) ³
    ⇒ x – 3 = -5 
    ⇒ x = -2 
    Vậy x = -2 
    b) 64x³ + 48x² + 12x + 1 = 27
    ⇒ ( 4x )³ + 3 . (4x)² . 1 + 3 . 4x . 1² + 1²= 3³
    ⇒ ( 4x + 1 )³ = 3³
    ⇒ 4x + 1 = 3
    ⇒ 4x = 2
    ⇒ x = $\frac{1}{2}$ 
    Vậy x = $\frac{1}{2}$ 
    c) 4x² – 4x + 1 = 9
    ⇒ (2x)² – 2 . 2x . 1 + 1² = 3²
    ⇒ ( 2x -1 )² = 3²
    ⇒ 2x – 1 = 3
    ⇒ 2x = 4
    ⇒ x = 2 
    Vậy x = 2
    d) ( x + 4 )³ – x²(x + 12 ) = 16
    ⇒ x³ + 3 . x² . 4 + 3 . x . 4² + 4³ – x³ – 12x² = 16
    ⇒ x³ + 12x² + 48x + 64 – x³ – 12x² = 16
    ⇒  48x + 64 = 16
    ⇒ 48x = – 48
    ⇒ x = -1 
    Vậy x = -1
                  *CHÚC HỌC TỐT *
     

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

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