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

Toán Lớp 8: a, x(x+2)+x^2= -2x b, (x+1)(x^2+4)=x^2+x c, x^2(x-5)+5-x=0 d, 3x^4-9x^3= -9x^2+27x mọi người giúp mình với ạ!

Toán Lớp 8: a, x(x+2)+x^2= -2x
b, (x+1)(x^2+4)=x^2+x
c, x^2(x-5)+5-x=0
d, 3x^4-9x^3= -9x^2+27x
mọi người giúp mình với ạ!

Comments ( 2 )

  1. Giải đáp:
    a)x(x+2)+x^2=-2x
    <=>x(x+2)+x^2+2x=0
    <=>x(x+2)+x(x+2)=0
    <=>2x(x+2)=0
    <=>x(x+2)=0
    <=>[(x=0),(x+2=0):}
    <=>[(x=0),(x=-2):}
    Vậy S={0;-2}.
    b)(x+1)(x^2+4)=x^2+x
    <=>(x+1)(x^2+4)=x(x+1)
    <=>(x+1)(x^2-x+4)=0
    Vì x^2-x+4
    =(x-1/2)^2+15/4>=15/4>0
    <=>x+1=0
    <=>x=-1.
    Vậy S={-1}.
    c)x^2(x-5)+5-x=0
    <=>x^2(x-5)-(x-5)=0
    <=>(x-5)(x^2-1)=0
    <=>(x-5)(x-1)(x+1)=0
    <=>[(x-5=0),(x-1=0),(x+1=0):}
    <=>[(x=5),(x=1),(x=-1):}
    Vậy S={5;1;-1}.
    d)3x^4-9x^3=-9x^2+27x
    <=>3x^4-9x^3+9x^2-27x=0
    <=>x^4-3x^3+3x^2-9x=0
    <=>x(x^3-3x^2+3x-9)=0
    <=>x[x^2(x-3)+3(x-3)]=0
    <=>x(x-3)(x^2+3)=0
    Vì x^2+3>=3>0AAx
    =>x(x-3)=0
    <=>[(x=0),(x-3=0):}
    <=>[(x=0),(x=3):}
    Vậy S={0;3}.

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

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