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

Toán Lớp 10: Giúp em với ạ: Giải các pt sau: a) | 3x + 2 | = | 2x + 1 | b) | 2×2- x – 1 | = | 2x + 1 |

Toán Lớp 10: Giúp em với ạ:
Giải các pt sau:
a) | 3x + 2 | = | 2x + 1 |
b) | 2×2- x – 1 | = | 2x + 1 |

Comments ( 2 )

  1. a)|3x+2|=|2x+1|
    <=>[(3x+2=2x+1),(3x+2=-2x-1):}
    <=>[(x=-1),(5x=-3):}
    <=>$\left[\begin{matrix} x=-1\\ x=-\dfrac{3}{5}\end{matrix}\right.$
    Vậy S={-1; -3/5}
    b)|2x^2-x-1|=|2x+1|
    <=>[(2x^2-x-1=2x+1),(2x^2-x-1=-2x-1):}
    <=>[(2x^2-3x-2=0),(2x^2+x=0):}
    <=>[((x-2)(2x+1)=0),(x(2x+1)=0):}
    <=>[(x-2=0),(2x+1=0),(x=0):}
    <=>[(x=2),(2x=-1),(x=0):}
    <=>$\left[\begin{matrix} x=2\\ x=-\dfrac{1}{2}\\ x=0\end{matrix}\right.$
    Vậy S={2; -1/2; 0}

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

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