Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

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

Toán Lớp 8: Tìm x : 1, ( 2x+1)^ 2 -4 (x+1) =3 2, 3 (x-1)( x+1) -2 ( x+1)^2-( x-1)^2 =0 3, (3x-1)^2 + ( 2 +x)^2-10 ( x-2) ( x+2) =0

Toán Lớp 8: Tìm x :
1, ( 2x+1)^ 2 -4 (x+1) =3
2, 3 (x-1)( x+1) -2 ( x+1)^2-( x-1)^2 =0
3, (3x-1)^2 + ( 2 +x)^2-10 ( x-2) ( x+2) =0

Comments ( 2 )

  1. $a)( 2x+1)^ 2 -4 (x+1) =3$
    $⇔4x^2+4x+1-4x-4=3$
    $⇔4x^2=6$
    $⇔x^2=\dfrac{3}{2}$ 
    $⇔x=\dfrac{\sqrt[]{6}}{2}$ hay $x=-\dfrac{\sqrt[]{6}}{2}$
    $b) 3 (x-1)( x+1) -2 ( x+1)^2-( x-1)^2 =0$
    $⇔3(x^2-1)-2(x^2+2x+1)-(x^2-2x+1)=0$
    $⇔3x^2-3-2x^2-4x-2-x^2+2x-1=0$
    $⇔-2x=6$
    $⇔x=-3$
    $ c)(3x-1)^2 + ( 2 +x)^2-10 ( x-2) ( x+2) =0$
    $⇔9x^2-6x+1+4+4x+x^2-10(x^2-4)=0$
    $⇔9x^2-10x^2+x^2-6x+4x+1+4+40=0$
    $⇔-2x=-45$
    $⇔x=\dfrac{45}{2}$

  2. Giải đáp + Lời giải và giải thích chi tiết:
    $1.(2x+1)^2-4(x+1)=3$
    $⇔(2x)^2+2.2x.1+1^2-(4x+4)=3$
    $⇔4x^2+4x+1-4x-4=3$
    $⇔4x^2=6$
    $⇔x^2=\dfrac{3}{2}$
    $⇔x=±\dfrac{\sqrt6}{2}$
    Vậy x∈{\frac{\sqrt6}{2};-\frac{\sqrt6}{2}}
    $2. 3(x-1)(x+1)-2(x+1)^2-(x-1)^2=0$
    $⇔3(x^2-1)-2(x^2+2x+1)-(x^2-2x+1)=0$
    $⇔3x^2-3-2x^2-4x-2-x^2+2x-1=0$
    $⇔-2x=6$
    $⇔x=-3$
    Vậy x∈{-3}
    $3. (3x-1)^2+(2+x)^2-10(x-2)(x+2)=0$
    $⇔(9x^2-6x+1)+(x^2+4x+4)-10(x^2-4)=0$
    $⇔9x^2-6x+1+x^2+4x+4-10x^2+40=0$
    $⇔-2x=-45$
    $⇔x=\dfrac{45}{2}$
    Vậy x∈{\frac{45}{2}}

Leave a reply

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