a)

\(\left(3x^2-x+1\right)\left(x-1\right)+x^2\left(4-3x\right)=\frac{5}{2}\)

\(\Leftrightarrow3x^3-x^2+x-3x^2+x-1+4x^2-3x^3=\frac{5}{2}\)

\(\Leftrightarrow2x-1=\frac{5}{2}\Leftrightarrow2x=1+\frac{5}{2}=\frac{7}{2}\Leftrightarrow x=\frac{7}{4}\)

b) 

\(4\left(x+1\right)^2+\left(2x-1\right)^2-8\left(x-1\right)\left(x+1\right)=11\)

\(\Leftrightarrow4\left(x^2+2x+1\right)+\left(4x^2-4x+1\right)-8\left(x^2-1\right)=11\)

\(\Leftrightarrow4x^2+8x+4+4x^2-4x+1-8x^2+8=11\)

\(\Leftrightarrow8x+4-4x+1+8=11\Leftrightarrow4x+13=11\Leftrightarrow4x=-2\Leftrightarrow x=-\frac{1}{2}\)

c)

\(\left(2x-1\right)^2+\left(x+3\right)^2-5\left(x+7\right)\left(x-7\right)=0\)

\(\Leftrightarrow4x^2-4x+1+x^2+6x+9-5\left(x^2-7^2\right)=0\)

\(\Leftrightarrow4x^2-4x+1+x^2+6x+9-5x^2+245=0\)

\(\Leftrightarrow-4x+1+6x+9+245=0\Leftrightarrow2x+255=0\Leftrightarrow x=-\frac{255}{2}\).

a ) ( 3x² - x + 1 ) ( x + 1 ) + x² ( 4 - 3x ) = 5/2

=> 3x³ + 3x² - x² - x + x + 1 + 4x² - 3x³ = 5/2

=> 6x² + 1 = 5/2

=> 6x² = 1,5

=> x² = 0,25

=> x = 0,5

a ) ( 3x 2 - x + 1 ) ( x + 1 ) + x 2 ( 4 - 3x ) = 5/2

=> 3x 3 + 3x 2 - x 2 - x + x + 1 + 4x 2 - 3x 3 = 5/2

=> 6x 2 + 1 = 5/2

=> 6x 2 = 1,5

=> x 2 = 0,25

=> x = 0,5 

số điện thoại của bạn là gì ?

a) \(\Rightarrow x^2+8x+16-x^2+1=19\)

\(\Rightarrow8x=2\Rightarrow x=\dfrac{1}{4}\)

b) \(\Rightarrow4x^2-4x+1+x^2+6x+9-5x^2+245=0\)

\(\Rightarrow2x=-255\Rightarrow x=-\dfrac{255}{2}\)

a: Ta có: \(\left(x+4\right)^2-\left(x+1\right)\left(x-1\right)=19\)

\(\Leftrightarrow x^2+8x+16-x^2+1=19\)

\(\Leftrightarrow x=\dfrac{1}{4}\)

b: Ta có: \(\left(2x-1\right)^2+\left(x+3\right)^2-5\left(x+7\right)\left(x-7\right)=0\)

\(\Leftrightarrow4x^2-4x+1+x^2+6x+9-5x^2+245=0\)

\(\Leftrightarrow2x=-255\)

hay \(x=-\dfrac{255}{2}\)

a)4×(x-5)-(x-1)×(4x-3)=5

=>4x-20-4x²+7x-3-5=0

=>-4x²+11x-28=0

=>-4(x²-\(\frac{11x}{4}\)+7)=0

=>\(-4\left(x-\frac{11}{8}\right)^2-\frac{327}{16}< 0\)

=>vô nghiệm

b) (3x-4)(x-2)=3x(x-9)-3

=>3x²-10x+8=3x²-27x-3

=>17x=-11

=>x=-11/17

c)(x-5)×(x-4)-(x+1)×(x-2)=7

=>x²-9x+20-x²+x+2=7

=>22-8x=7

=>-8x=-15

=>x=8/15

d)(2x-1)×(x-2)-(x+3)×(2x-7)=3

=>2x²-5x+2-2x²+x+21=3

=>23-4x=3

=>-4x=-20

=>x=5

olm chưa death ak ?

a; - \(\dfrac{1}{3}\).(15\(x-9\)) + \(\dfrac{2}{7}\).(- \(x-34\)) = 1 - \(\dfrac{3}{4}\).(-16\(x+4\))

    - 5\(x\) + 3 - \(\dfrac{2}{7}\)\(x\) - \(\dfrac{68}{7}\) = 1 + 12\(x\) - 3 

    12\(x\) + 5\(x\)  + \(\dfrac{2}{7}x\) =  3 - \(\dfrac{68}{7}\)  - 1 + 3 

    17\(x\) + \(\dfrac{2}{7}x\) =  (3 - 1 + 3) - \(\dfrac{68}{7}\)

    \(\dfrac{121}{7}\)\(x\)    =  5 - \(\dfrac{68}{7}\)

     \(\dfrac{121}{7}\) \(x\)  = -  \(\dfrac{33}{7}\)

           \(x\)  =    - \(\dfrac{33}{7}\): \(\dfrac{121}{7}\)

            \(x\) =  - \(\dfrac{3}{11}\)

Vậy  \(x\) = - \(\dfrac{3}{11}\) 

Bài 2:

\(\dfrac{a+b}{a-b}=\dfrac{c+a}{c-a}\)

\(\Rightarrow\dfrac{a+b}{c+a}=\dfrac{a-b}{c-a}=\dfrac{a+b+a-b}{c+a+c-a}=\dfrac{a}{c}\) (T/c dãy tỷ số = nhau)

\(\Rightarrow\dfrac{a+b}{c+a}=\dfrac{a}{c}\Rightarrow c\left(a+b\right)=a\left(c+a\right)\)

\(\Rightarrow ac+bc=ac+a^2\Rightarrow a^2=bc\)

a) x=949/27
    y=755/27
    z=61/9
    các bạn xem giúp mik đúng chx ạ, mik đặt là k

a)

<=> 10x - 35 + 16x - 10 = 5 

<=> 10x + 16x = 5 + 35 + 10

<=> 26x = 50

<=> x = 50/26 = 25/13