bài 1: tìm x:
a) x+(x+1)+(x+2)+.....+(x+2003)=2004
b) 7/3+(x-3/2)=(3-3/2).x
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(a,-12\left(x-5\right)+7\left(3-x\right)=5\)
\(-12x+60+21-7x=5\)
\(-12x-7x=5-60-21\)
\(-19x=-76\Leftrightarrow x=4\)
\(b,30\left(x+2\right)-6\left(x-5\right)-24x=100\)
\(30x+60-6x+30-24x=100\)
\(30x-6x-24x=100-60-30\)
\(0x=10\left(vl\right)\)
Vậy pt vô nghiệm
a) \(\frac{x-1}{2015}+\frac{x-2}{2014}=\frac{x-3}{2013}+\frac{x-4}{2012}\)
\(\Rightarrow\left(\frac{x-1}{2015}-1\right)+\left(\frac{x-2}{2014}-1\right)=\left(\frac{x-3}{2013}-1\right)+\left(\frac{x-4}{2012}-1\right)\)
\(\Rightarrow\frac{x-2016}{2015}+\frac{x-2016}{2014}=\frac{x-2016}{2013}+\frac{x-2016}{2012}\)
\(\Rightarrow\frac{x-2016}{2015}+\frac{x-2016}{2014}-\frac{x-2016}{2013}-\frac{x-2016}{2012}=0\)
\(\Rightarrow\left(x-2016\right).\left(\frac{1}{2015}+\frac{1}{2014}-\frac{1}{2013}-\frac{1}{2012}\right)=0\)
Vì \(\frac{1}{2015}+\frac{1}{2014}-\frac{1}{2013}-\frac{1}{2012}\ne0\Rightarrow x-2016=0\)
\(\Rightarrow x=2016\)
b) \(\frac{x-1}{2004}+\frac{x-2}{2003}-\frac{x-3}{2002}=\frac{x-4}{2001}\)
\(\Rightarrow\frac{x-1}{2004}+\frac{x-2}{2003}-\frac{x-3}{2002}-\frac{x-4}{2001}=0\)
\(\Rightarrow\left(\frac{x-1}{2004}-1\right)+\left(\frac{x-2}{2003}-1\right)-\left(\frac{x-3}{2002}-1\right)-\left(\frac{x-4}{2001}-1\right)=0\)
\(\Rightarrow\frac{x-2005}{2004}+\frac{x-2005}{2003}-\frac{x-2005}{2002}-\frac{x-2005}{2001}=0\)
\(\Rightarrow\left(x-2005\right)\left(\frac{1}{2004}+\frac{1}{2003}-\frac{1}{2002}-\frac{1}{2001}\right)=0\)
vì \(\frac{1}{2004}+\frac{1}{2003}-\frac{1}{2002}-\frac{1}{2001}\ne0\Rightarrow x-2005=0\)
\(\Rightarrow x=2005\)
c) \(|5x-3|\ge7\)
\(\Rightarrow5x-3\ge7\) hoặc - (5x-3) \(\ge7\)
\(\Rightarrow5x-3\ge7\) hoặc \(-5x+3\ge7\)
\(\Rightarrow5x\ge10\) hoặc \(-5x\ge4\)
\(\Rightarrow x\ge2\) hoặc \(x\le\frac{4}{-5}\)
k nhé!!! Kp luôn nha!
Bài 1:
19920 < 20020 = (23 . 52)20 = 260 . 540
200315 > 200015 = (24 . 53)15 = 260 . 545
Do: 260 . 540 < 260 . 545 => 19920 < 260 . 540 < 260 . 545 < 200315 => 19920 < 200315
Bài 2:
a/ (3 . x - 9) . 312 = 315 => 3 . x - 9 = 315 : 312
=> 3 . x - 9 = 27 => 3 . x = 27 + 9
=> 3 . x = 36 => x = 12
b/ (7 . x + 6) . 55 = 58 => 7 . x + 6 = 58 : 55
=> 7 . x + 6 = 125 => 7 . x = 125 - 6
=> 7 . x = 119 => x = 17
c/ (x - 5)4 = (x - 5)6
<=> x - 5 = 1 hoặc x - 5 = -1 hoặc x - 5 = 0
=> x = 6 hoặc x = 4 hoặc x = 5
bài 1:
a) (x+1)^2-(x-1)^2-3(x+1)(x-1)
=(x+1+x-1)(x+1-x+1)-3x^2-3
=2x^2-3x^2-3
=-x^2-3
\(x+\left(x+1\right)+....+2003=2003\Leftrightarrow x+\left(x+1\right)+....+2002=0\)
\(\Leftrightarrow\left(2002+x\right)\left(2002-x+1\right)=0\Leftrightarrow\left(2002+x\right)\left(2003-x\right)=0\Leftrightarrow\orbr{\begin{cases}x=-2002\\x=2003\end{cases}}\)
b.\(\frac{7}{3}+x-\frac{3}{2}=\frac{3}{2}x\)
\(\frac{5}{6}+x=\frac{3}{2}x\)
\(-\frac{1}{2}x=\frac{-5}{6}\)
\(x=\frac{5}{3}\)
bạn có bít làm phần a) k chỉ mình với