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

Toán Lớp 7: 1) Tìm x.bt a) (x+3)(x-2)= (x-4)(x+4) b) (x+5)^2= x(x+8)-1 c) (x-6)^2= x(x-10)+ 2 d) (x-1)(x^2+x+1)= x(x^2-2)+ 3 2) tìm x x^2+ 8x+ 7=

Toán Lớp 7: 1) Tìm x.bt
a) (x+3)(x-2)= (x-4)(x+4)
b) (x+5)^2= x(x+8)-1
c) (x-6)^2= x(x-10)+ 2
d) (x-1)(x^2+x+1)= x(x^2-2)+ 3
2) tìm x
x^2+ 8x+ 7= 0
gấp quá mn ơi giúp mik với T^T

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    1.
    a) (x+3)(x-2)=(x-4)(x+4)
    ->x^2-2x+3x-6=x^2+4x-4x-16
    ->x^2-2x+3x-6-x^2-4x+4x+16=0
    ->x+10=0
    ->x=-10
    Vậy x = -10
    b) (x+5)^2=x(x+8)-1
    ->(x+5)(x+5)=x(x+8)-1
    ->x(x+5)+5(x+5)=x(x+8)-1
    ->x^2+5x+5x+25=x^2+8x-1
    ->x^2+5x+5x+25-x^2-8x+1=0
    ->2x+26=0
    ->2x=-26->x=-13
    Vậy x = -13
    c) (x-6)^2=x(x-10)+2
    ->(x-6)(x-6)=x^2-10x+2
    ->x^2-6x-6x+36-x^2+10x-2=0
    ->-2x+34=0
    ->-2x=-34
    ->x=17
    Vậy x = 17
    d) (x-1)(x^2+x+1)=x(x^2-2)+3
    ->x^3+x^2+x-x^2-x-1=x^3-2x+3
    ->x^3-1=x^3-2x+3
    ->x^3-1-x^3+2x-3=0
    ->2x-4=0
    ->x=2
    Vậy x = 2
    2.
    x^2+8x+7=0
    ->x^2+x+7x+7=0
    ->x(x+1)+7(x+1)=0
    ->(x+1)(x+7)=0
    ->[(x+1=0),(x+7=0):}
    ->[(x=-1),(x=-7):}
    Vậy x in {-1;-7}.
     

  2. 1)
    a)(x+3)(x-2)=(x-4)(x+4)
    ⇔x^2+3x-2x-6=x^2-16
    ⇔x^2+x-6-x^2+16=0
    ⇔x+10=0
    ⇔x=-10
    b)(x+5)^2=x(x+8)-1
    ⇔x^2+10x+25=x^2+8x-1
    ⇔x^2+10x+25-x^2-8x+1=0
    ⇔2x+26=0
    ⇔2x=-26
    ⇔x=-13
    c)(x-6)^2=x(x-10)+2
    ⇔x^2-12x+36=x^2-10x+2
    ⇔x^2-12x+36-x^2+10x-2=0
    ⇔-2x+34=0
    ⇔-2x=-34
    ⇔x=17
    d)(x-1)(x^2+x+1)=x(x^2-2)+3
    ⇔x^3-1=x^3-2x+3
    ⇔x^3-1-x^3+2x-3=0
    ⇔2x-4=0
    ⇔x=2
    2)x^2+8x+7=0
    ⇔x^2+x+7x+7=0
    ⇔x(x+1)+7(x+1)=0
    ⇔(x+1)(x+7)=0
    ⇔\(\left[ \begin{array}{l}x+1=0\\x+7=0\end{array} \right.\) 
    ⇔\(\left[ \begin{array}{l}x=-1\\x=-7\end{array} \right.\) 

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

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