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

Toán Lớp 8: bài 1 : tìm x : a, 5x^2 -6x+1=0 b,2x^+9x-5=0 c, 4x^2-4x-15=0

Toán Lớp 8: bài 1 : tìm x :
a, 5x^2 -6x+1=0
b,2x^+9x-5=0
c, 4x^2-4x-15=0

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    a.5x^2-6x+1=0
    <=>5x^2-5x-x+1=0
    <=>5x(x-1)-(x-1)=0
    <=>(x-1)(5x-1)=0
    <=>[(x-1=0),(5x-1=0):}
    <=>[(x=1),(x=1/5):}
    b.2x^2+9x-5=0
    <=>2x^2-x+10x-5=0
    <=>x(2x-1)+5(2x-1)=0
    <=>(2x-1)(x+5)=0
    <=>[(2x-1=0),(x+5=0):}
    <=>[(x=1/2),(x=-5):}
    c.4x^2-4x-15=0
    <=>4x^2-10x+6x-15=0
    <=>2x(2x-5)+3(2x-5)=0
    <=>(2x-5)(2x+3)=0
    <=>[(2x-5=0),(2x+3=0):}
    <=>[(x=5/2),(x=-3/2):}

  2. Giải đáp + Lời giải và giải thích chi tiết:
     Bài 1:
    a, 5x^2 – 6x + 1 = 0
    5x^2 – 5x – x + 1 = 0
    5x(x – 1) – (x – 1) = 0
    (5x – 1)(x – 1) = 0
    ⇒\(\left[ \begin{array}{l}5x – 1 = 0\\x – 1 = 0\end{array} \right.\) 
    ⇒\(\left[ \begin{array}{l}x = \frac{1}{5}\\x  = 1\end{array} \right.\) 
    Vậy S = { 1/5 ; 1}
    b, 2x^2 + 9x – 5 = 0
    2x^2 + 10x – x – 5 = 0
    2x(x + 5) – (x + 5) = 0
    (2x – 1)(x + 5) = 0
    ⇒\(\left[ \begin{array}{l}2x – 1 = 0\\x+5=0\end{array} \right.\) 
    ⇒\(\left[ \begin{array}{l}x = \frac{1}{2}\\x=-5\end{array} \right.\) 
    Vậy S = { 1/2 ; -5}
    c, 4x^2 – 4x – 15 = 0
    4x^2 + 6x – 10x – 15 = 0
    4x(x + 3/2) – 5(x + 3/2) = 0
    (4x – 5)(x + 3/2) = 0
    ⇒ \(\left[ \begin{array}{l}4x – 5 =0\\x+\frac{3}{2} = 0\end{array} \right.\) 
    ⇒ \(\left[ \begin{array}{l}x = \frac{5}{4}\\x=-\frac{3}{2} \end{array} \right.\) 
    Vậy S = {5/4 ; -3/2}

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

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