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

Toán Lớp 8: Tìm x biết a) x ² -25 +(x+5)=0 b)(2x-1) ²-(4x ² -1)=0 C) x ²(x ²+4)-x ²-4=0

Toán Lớp 8: Tìm x biết
a) x ² -25 +(x+5)=0
b)(2x-1) ²-(4x ² -1)=0
C) x ²(x ²+4)-x ²-4=0

Comments ( 2 )

  1. a)
    x^2 – 25 + (x + 5) = 0
    ⇔ (x – 5)(x + 5) + (x + 5) = 0
    ⇔ (x + 5)(x – 4) = 0
    ⇔ \(\left[ \begin{array}{l}x + 5 = 0\\x – 4 = 0\end{array} \right.\) 
    ⇔ \(\left[ \begin{array}{l}x = -5\\x = 4\end{array} \right.\) 
    Vậy  S = {-5 ; 4}
    b)
    (2x – 1)^2 – (4x^2 – 1) = 0
    ⇔ (2x – 1)^2 – (2x – 1)(2x + 1) = 0
    ⇔ (2x – 1)(-2) = 0
    ⇔ 2x – 1 = 0
    ⇔ x = 1/2
    Vậy  x = 1/2
    c)
    x^2(x^2 + 4) – x^2 – 4 = 0
    ⇔ x^2(x^2 + 4) – (x^2 + 4) = 0
    ⇔ (x^2 + 4)(x^2 – 1) = 0
    Do  x^2 + 4 ≥ 4
    ⇒ x^2 – 1 = 0
    ⇒ x = ± 1
    Vậy  x = ± 1

  2. Giải đáp: Hình ảnh nhé
     
    Lời giải và giải thích chi tiết:
     

    toan-lop-8-tim-biet-a-25-5-0-b-2-1-4-1-0-c-4-4-0

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