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 (3x-1)(2x+7)-(x+1)(6x-5)=16 (x^4+2x^3+10x-25):(x^2+5)=3 Làm đúng nha, 30đ đủ chưa ạ ._.

Toán Lớp 8: Tìm x
(3x-1)(2x+7)-(x+1)(6x-5)=16
(x^4+2x^3+10x-25):(x^2+5)=3
Làm đúng nha, 30đ đủ chưa ạ ._.

Comments ( 2 )

  1. text{Giải đáp:}
    x = 1
    $\left[\begin{matrix} x=2\\ x=(-4)\end{matrix}\right.$
    text{Lời giải và giải thích chi tiết:}
    (3x-1)(2x+7)-(x+1)(6x-5)=16
    6x^2+21x-2x-7-(6x^2-5x+6x-5)=16
    6x^2+21x-2x-7-6x^2+5x-6x+5=16
    18x-2=16
    18x=16+2
    18x=18
    x = 18 : 18
    x=1
    – – – – – –
    (x^4+2x^3+10x-25):(x^2+5)=3
    (x^4 – 25) + (2x^4 + 30x) : 2x + 5 = 3
    (x^2 – 5)(x^2 + 5) + 2x(x^2 + 5) : x^2 + 5 = 3
    (x^2 + 5)(x^2 – 5 + 2x) : x^2 + 5 = 3
    x^2 – 5 + 2x = 3
    x^2 + 2x + 1 – 6 = 3
    (x + 1)^2 = 9  
    (x + 1)^2 = 3^2  
    => $\left[\begin{matrix}x+1=3\\x+1=(-3)\end{matrix}\right.$  
    => $\left[\begin{matrix}x=3-1\\x=(-3)-1\end{matrix}\right.$  
    => $\left[\begin{matrix}x=2\\x=(-4)\end{matrix}\right.$  

  2. (3x-1)(2x+7)-(x+1)(6x-5)=16
    ⇔ (6x^2+19-7).-(6x^2+x-5)=16
    ⇔ 6x^2+19x-7-6x^2-x+5=16
    ⇔ 18x-2= 16
    ⇔ 18x =18
    ⇔ x=1
    (x^4+2x^3+10x-25):(x^2+5)=3
    ⇔ (x^4-25)+(2x^4+30x):2x+5=3      
    ⇔ (x^2-5)(x^2+5)+2x(x^2+5):x^2=3
    ⇔ (x^2+5)(x^2-5+2x):x^2+5=3
    ⇔ x^2-5+2x=3
    ⇔ x^2+2x+1-6=3
    ⇔ x^2+2x+1= 3+6=9
    ⇔ (x+1)^2= 3^2
    ⇔ x+1=3
    ⇔ x+1=3   hay ⇔ x+1=-3
    ⇔ x= 2             ⇔ x=-4
     

Leave a reply

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