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

Toán Lớp 8: Tìm x a) x(2x-1)-(x+2)(2x+3)=0 b) (2x+7)^2 – 4x(x-3)= -31 Tính(x+y)^2 biết x-y=10 ; x.y=4 Giúp em với ạ , em cảm ơn

Toán Lớp 8: Tìm x
a) x(2x-1)-(x+2)(2x+3)=0
b) (2x+7)^2 – 4x(x-3)= -31
Tính(x+y)^2 biết x-y=10 ; x.y=4
Giúp em với ạ , em cảm ơn

Comments ( 2 )

  1. a) x(2x-1)-(x+2)(2x+3)=0
    <=>2x^2-x-[(x(2x+3)+2(2x+3)]=0
    <=>2x^2-x-(2x^2+3x+4x+6)=0
    <=>2x^2-x -2x^2-3x-4x-6=0
    <=>2x^2-2x^2-x-3x-4x-6=0
    <=>-6x-6=0
    <=>-8x=6
    <=>x=-3/4
    Vậy S={-3/4}
    b) (2x+7)^2 – 4x(x-3)= -31
    <=>[(2x)^2+2.2x.7+7^2]-4x^2+12x=-31
    <=>4x^2+28x+49-4x^2+12x=-31
    <=>4x^2-4x^2+28x+12x=-49-31
    <=>40x=-80
    <=>x=-2
    Vậy S={-2}
    Ta có : (x+y)^2=x^2+2xy+y^2
    =x^2-2xy+4xy+y^2
    =(x^2-2xy+y^2)+4xy
    =(x-y)^2+4xy
    Vì : x-y=10 ; x.y=4
    =>10^2+4.4=100+16=116
     

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