K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

24 tháng 5 2017

\(\left(6x-4\right)\left(2x-7\right)+\left(3x+5\right)\left(x-4x\right)=-31\\ \Leftrightarrow12x^2-50x+28+3x^2-12x^2+5x-20x+31=0\)

\(\Leftrightarrow3x^2-65x+59=0\)

\(\Leftrightarrow x^2-\dfrac{65}{3}x+\dfrac{59}{3}=0\\ \Leftrightarrow x^2-2.\dfrac{65}{6}x+\left(\dfrac{65}{6}\right)^2=-\dfrac{59}{3}+\left(\dfrac{65}{6}\right)^2\)

\(\Leftrightarrow\left(x-\dfrac{65}{6}\right)^2=\dfrac{3517}{36}\)

\(\Rightarrow\left\{{}\begin{matrix}x-\dfrac{65}{6}=\dfrac{\sqrt{3517}}{6}\\\dfrac{65}{6}-x=\dfrac{\sqrt{3517}}{6}\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{\sqrt{3517}+65}{6}\\x=\dfrac{-\sqrt{3517}+65}{6}\end{matrix}\right.\)

vậy...

26 tháng 6 2018

\(\Leftrightarrow12x^2-42x-\left(8x-28\right)+\left(3x-12x^2\right)-\left(5-20x\right)=-31\)

\(\Leftrightarrow12x^2-42x-8x+28+3x-12x^2-5+20x=-31\)

\(\Leftrightarrow\left(12x^2-12x^2\right)-x\left(42+8\right)+x\left(3+20\right)+28-5=-31\)

\(\Leftrightarrow0-50x+23x+23=-31\)

\(\Leftrightarrow-27x=-31-23\)

\(\Leftrightarrow-27x=-54\)

\(\Leftrightarrow x=\left(-54\right)\div\left(-27\right)\)

\(\Leftrightarrow x=2\)

Vậy x=2

22 tháng 9 2018

* Trả lời:

\(\left(1\right)\) \(-3\left(1-2x\right)-4\left(1+3x\right)=-5x+5\)

\(\Leftrightarrow-3+6x-4-12x=-5x+5\)

\(\Leftrightarrow6x-12x+5x=3+4+5\)

\(\Leftrightarrow x=12\)

\(\left(2\right)\) \(3\left(2x-5\right)-6\left(1-4x\right)=-3x+7\)

\(\Leftrightarrow6x-15-6+24x=-3x+7\)

\(\Leftrightarrow6x+24x+3x=15+6+7\)

\(\Leftrightarrow33x=28\)

\(\Leftrightarrow x=\dfrac{28}{33}\)

\(\left(3\right)\) \(\left(1-3x\right)-2\left(3x-6\right)=-4x-5\)

\(\Leftrightarrow1-3x-6x+12=-4x-5\)

\(\Leftrightarrow-3x-6x+4x=-1-12-5\)

\(\Leftrightarrow-5x=-18\)

\(\Leftrightarrow x=\dfrac{18}{5}\)

\(\left(4\right)\) \(x\left(4x-3\right)-2x\left(2x-1\right)=5x-7\)

\(\Leftrightarrow4x^2-3x-4x^2+2x=5x-7\)

\(\Leftrightarrow-x-5x=-7\)

\(\Leftrightarrow-6x=-7\)

\(\Leftrightarrow x=\dfrac{7}{6}\)

\(\left(5\right)\) \(3x\left(2x-1\right)-6x\left(x+2\right)=-3x+4\)

\(\Leftrightarrow6x^2-3x-6x^2-12x=-3x+4\)

\(\Leftrightarrow-15x+3x=4\)

\(\Leftrightarrow-12x=4\)

\(\Leftrightarrow x=-\dfrac{1}{3}\)

⇔(2 x ) 2+2.2 x .1+1 2=0 ... c ,(3 x −42−14(3 x −4)(6+3 x )+49(3 x +6)=16 ... ⇔9 x 224 x +16−126 x 2252 x +168 x +336+147 x +294=16.

https://olm.vn/hoi-dap/detail/192758180810.html

14 tháng 10 2021

1) \(\Rightarrow10x-16-12x+15=12x-16+11\)

\(\Rightarrow14x=4\Rightarrow x=\dfrac{2}{7}\)

2) \(\Rightarrow4x^2+4x+1-4x^2+13x-3-15=0\)

\(\Rightarrow17x=17\Rightarrow x=1\)

3) \(\Rightarrow\left(3x-1\right)\left(2x-7+6x-5\right)=0\)

\(\Rightarrow\left(2x-3\right)\left(3x-1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)

14 tháng 10 2021

2: Ta có: \(\left(2x+1\right)^2-\left(4x-1\right)\left(x-3\right)-15=0\)

\(\Leftrightarrow4x^2+4x+1-4x^2+12x+x-3-15=0\)

\(\Leftrightarrow17x=17\)

hay x=1

31 tháng 8 2015

Rút gọn hết ta được :

a/ 41x - 17 = -21

=> 41x = -4 => x = 4/41

b/ 34x - 17 = 0 

=> 34x = 17

=> x = 17/34 = 1/2

c/ 19x + 56 = 52 

=> 19x = -4

=> x = -4/19

d/ 20x2 - 16x - 34 = 10x2 + 3x - 34

=> 10x2 - 19x = 0

=> x(10x - 19) = 0

=> x = 0 

hoặc 10x - 19 = 0 => 10x = 19 => x = 19/10

Vậy x = 0 ; x = 19/10

2 tháng 1 2016

Rút gọn hết ta được :

a/ 41x - 17 = -21

=> 41x = -4 => x = 4/41

b/ 34x - 17 = 0

=> 34x = 17

=> x = 17/34 = 1/2

c/ 19x + 56 = 52

=> 19x = -4

=> x = -4/19

d/ 20x 2 - 16x - 34 = 10x 2 + 3x - 34

=> 10x 2 - 19x = 0

=> x(10x - 19) = 0

=> x = 0 hoặc 10x - 19 = 0

=> 10x = 19

=> x = 19/10

Vậy x = 0 ; x = 19/10 

14 tháng 10 2021

1: Ta có: \(\left(x+3\right)^2-\left(x+2\right)\left(x-2\right)=4x+17\)

\(\Leftrightarrow x^2+6x+9-x^2+4-4x=17\)

\(\Leftrightarrow x=2\)

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

\(\Leftrightarrow2x^2-2x+3x-3+2x-2x^2-3+3x=0\)

\(\Leftrightarrow6x=6\)

hay x=1