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

Toán Lớp 6: B1: Tìm x , biết a. | x – 15 | = 8 b. 7 – | x – 3 | = 4 c. | 1 – 2x | = 5 d. 8x + 15 – 3x = -400 e. -32x + 12x – 5x = 900 f. ( x+2

Toán Lớp 6: B1: Tìm x , biết
a. | x – 15 | = 8
b. 7 – | x – 3 | = 4
c. | 1 – 2x | = 5
d. 8x + 15 – 3x = -400
e. -32x + 12x – 5x = 900
f. ( x+2) × ( x + 5 ) =0
g. ( x^2 – 25 ) × ( x^2 + 25 ) = 0
Giải chi tiết giúp mik vs

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
     a)|x-15|=8
    <=> $\left[\begin{matrix} x-15=8\\ x-15=-8\end{matrix}\right.$
    <=> $\left[\begin{matrix} x=23\\ x=7\end{matrix}\right.$
    text{vậy} S={7;23}
     b) 7-|x-3|=4
    <=>|x-3|=7-4
    <=>|x-3|=3
    <=> $\left[\begin{matrix} x-3=3\\ x-3=-3\end{matrix}\right.$
    <=> $\left[\begin{matrix} x=6\\ x=0\end{matrix}\right.$
    text{vậy} S={0;6}
     c) |1-2x|=5
    <=> $\left[\begin{matrix} 1-2x=5\\ 1-2x=-5\end{matrix}\right.$
    <=> $\left[\begin{matrix} -2x=4\\ -2x=-6\end{matrix}\right.$
    <=> $\left[\begin{matrix} x=-2\\ x=3\end{matrix}\right.$
    text{vậy} S={-2;3}
     d) 8x+15-3x=-400
    <=>5x=-400-15
    <=>5x=-415
    <=>x=-83
    text{Vậy} S={-83}
     e) -32x+12x-5x=900
    <=>-25x=900
    <=>x=-36
    text{vậy} S={-36}
     f) (x+2)(x+5)=0
    <=> $\left[\begin{matrix} x+2=0\\ x+5=0\end{matrix}\right.$
    <=> $\left[\begin{matrix} x=-2\\ x=-5\end{matrix}\right.$
    text{vậy} S={-5;-2}
     g) (x^2-25)(x^2+25)=0
    text{vì} x^2geq0
             <=>x^2+25>0
    text{mà} (x^2-25)(x^2+25)=0
    =>x^2-25=0
    <=>x^2=25
    <=>x=±5
    text{vậy} S={±5}
                     text{xin 5 sao và hay nhất nha}

  2. a, | x – 15 | = 8
    ⇔ $\left[\begin{matrix}x – 15 = 8\\x – 15 = – 8\end{matrix}\right.$
    ⇔ $\left[\begin{matrix}x = 23\\x = 7\end{matrix}\right.$
    Vậy , x ∈ { 23 ; 7 } .
    b, 7 – | x – 3 | = 4
    ⇔ | x – 3 | = 7 – 4
    ⇔ | x – 3 | = 3
    ⇔ $\left[\begin{matrix}x – 3 = 3\\x – 3 = – 3 \end{matrix}\right.$
    ⇔ $\left[\begin{matrix}x = 6\\x = 0\end{matrix}\right.$
    Vậy , x ∈ { 6 ; 0 } .
    c, | 1 – 2x | = 5
    ⇔ $\left[\begin{matrix}1 – 2x = 5\\1 – 2x = – 5\end{matrix}\right.$
    ⇔ $\left[\begin{matrix}2x = – 4\\2x = 6\end{matrix}\right.$
    ⇔ $\left[\begin{matrix}x = – 2\\x = 3\end{matrix}\right.$
    Vậy , x ∈ { – 2 ; 3 } .
    d, 8x + 15 – 3x = – 400
    ⇔ x . ( 8 – 3 ) = – 400 – 15
    ⇔ x . 5 = – 415
    ⇔ x = – 415 : 5
    ⇔ x = – 83
    Vậy , x = – 83 .
    e, – 32x + 12x – 5x = 900
    ⇔ x . ( – 32 + 12 – 5 ) = 900
    ⇔ x . ( – 25 ) = 900
    ⇔ x = 900 : (- 25 )
    ⇔ x = – 36
    Vậy , x = – 36 .
    f, ( x + 2 ) . ( x + 5 ) = 0
    ⇔ $\left[\begin{matrix}x + 2 = 0\\x + 5 = 0\end{matrix}\right.$
    ⇔ $\left[\begin{matrix}x = – 2\\x = – 5\end{matrix}\right.$
    Vậy ; x ∈ { – 2 ; – 5 } .
    g, ( x^2 – 25 ) . ( x^2 + 25 ) = 0
    ⇔ $\left[\begin{matrix}x^2 – 25 = 0\\x^2 – 25 = 0\end{matrix}\right.$
    ⇔ $\left[\begin{matrix}x^2 = 25\\x^2 = – 25 ( loại )\end{matrix}\right.$
    ⇔ $\left[\begin{matrix}x^2 = 5^2\\x^2 = ( – 5 )^2\end{matrix}\right.$
    ⇔ $\left[\begin{matrix}x = 5\\x = – 5\end{matrix}\right.$
    Vậy ; x ∈ { 5 ; – 5 } .

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

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