Câu 6 : tìm x:
a) x+1/2016-x+2/2015=x+2017/2014
b) 5 - |3x - 1|= 3
c) (1 - 2x)2= 9
a) 2x-1/11+2x-2/12+2x-3/13=2x+5/5+2x+6/4+2x+7/3
b) x-1/2016+x-2/2015+x-3/2014+x-4/2013+x-5/2012 -5=0
c) x+2017/2+x+2015/3+x+2013/4+x+2011/5+8=0
Tìm x
a, x+1/2 + x+2/3 + x+3/4 + x+4/5 + ....+ x+5/6=5
b, x+1/2017 + x+2/2016 + x+3/2015 = x+4/2014 + x+5/2013 + x+6/2012
a) 2x-1/11+2x-2/12+2x-3/13=2x+5/5+2x+6/4+2x+7/3
b) x-1/2016+x-2/2015+x-3/2014+x-4/2013+x-5/2012 -5=0
c) x+2017/2+x+2015/3+x+2013/4+x+2011/5+8=0
giúp mình với mọi người làm ơn đi mình cần gấp lắm!!!!
a) 2x-1/11+2x-2/12+2x-3/13=2x+5/5+2x+6/4+2x+7/3
b) x-1/2016+x-2/2015+x-3/2014+x-4/2013+x-5/2012 -5=0
c) x+2017/2+x+2015/3+x+2013/4+x+2011/5+8=0
giúp mình với mọi người làm ơn đi mình cần gấp lắm!!!!
1) Tìm GTNN của các biểu thức:
a) P= (|x-3|+2)2 + |y+3|+2007
b) Q= |x-2008| + |x-2009|
3) A= |2x-2|+|2x-2013|
4) B= |2013-x| + |2014-x|
5) C= |x-2014|+|2015-x|+|x-2016|
6) D= |x-2|+|x-9|+|x+1945|
1. a) Ta có:
|x-3| > 0
=> |x-3| + 2 > 2
=> (|x-3| + 2)2 > 22 = 4
|y+3| > 0
=> P = (|x-3|+2)2 + |y+3| + 2007 > 4 + 0 + 2007 = 2011
=> GTNN của P là 2011
<=> x-3 = y+3 = 0
<=> x = 3; y = -3.
1) Tìm GTNN của các biểu thức:
a) P= (|x-3|+2)2 + |y+3|+2007
b) Q= |x-2008| + |x-2009|
3) A= |2x-2|+|2x-2013|
4) B= |2013-x| + |2014-x|
5) C= |x-2014|+|2015-x|+|x-2016|
6) D= |x-2|+|x-9|+|x+1945|
a) \(\left(\left|x-3\right|+2\right)^2+\left|y+3\right|=2007\)
Ta có: \(\left|x-3\right|\ge0\forall x\)
\(\Rightarrow\left(\left|x-3\right|+2\right)^2\ge\left(0+2\right)^2=2^2=4\)
Lại có: \(\left|y+3\right|\ge0\forall y\)
\(\Rightarrow\left(\left|x-3\right|+2\right)^2+\left|y+3\right|\ge4+0=4\)
\(\Rightarrow\left(\left|x-3\right|+2\right)^2+\left|y+3\right|+2007\ge4+2007=2011\)
\(\Rightarrow P_{MIN}=2011\)
Dấu "=" xảy ra khi \(\Leftrightarrow\orbr{\begin{cases}\left|x-3\right|=0\\\left|y+3\right|=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3\\y=-3\end{cases}}}\)
Vậy \(P_{MIN}=2011\) tại \(\orbr{\begin{cases}x=3\\y=-3\end{cases}}\)
a) 2x-1/11+2x-2/12+2x-3/13=2x+5/5+2x+6/4+2x+7/3
b) x-1/2016+x-2/2015+x-3/2014+x-4/2013+x-5/2012 -5=0
c) x+2017/2+x+2015/3+x+2013/4+x+2011/5+8=0
giúp mình với mọi người làm ơn đi mình cần gấp lắm!!!!
a) 2x-1/11+2x-2/12+2x-3/13=2x+5/5+2x+6/4+2x+7/3
b) x-1/2016+x-2/2015+x-3/2014+x-4/2013+x-5/2012 -5=0
c) x+2017/2+x+2015/3+x+2013/4+x+2011/5+8=0
giúp mình với mọi người làm ơn đi mình cần gấp lắm!!!!
a: Sửa đề: \(\dfrac{2x-1}{11}+\dfrac{2x-2}{12}+\dfrac{2x-3}{13}=\dfrac{2x+5}{5}+\dfrac{2x+7}{3}+\dfrac{2x+4}{6}\)
\(\Leftrightarrow\dfrac{2x-1}{11}+1+\dfrac{2x-2}{12}+1+\dfrac{2x-3}{13}+1=\dfrac{2x+5}{5}+1+\dfrac{2x+7}{3}+1+\dfrac{2x+4}{6}+1\)
=>2x+10=0
hay x=-5
b: \(\dfrac{x-1}{2016}+\dfrac{x-2}{2015}+\dfrac{x-3}{2014}+\dfrac{x-4}{2013}+\dfrac{x-5}{2012}-5=0\)
\(\Leftrightarrow\left(\dfrac{x-1}{2016}-1\right)+\left(\dfrac{x-2}{2015}-1\right)+\left(\dfrac{x-3}{2014}-1\right)+\left(\dfrac{x-4}{2013}-1\right)+\left(\dfrac{x-5}{2012}-1\right)=0\)
=>x-2017=0
hay x=2017
a)2x-1/11+2x-2/12+2x-3/13=2x+5/5+2x+7/6+2x+7/3
b)x-1/2016+x-2/2015+x-3/2014+x-4/2013+x-5/2012-5=0
c)x+2017/2+x+2015/3+x+2013/4+x+2011/5+8=0
giúp mình với mọi người ơi làm ơn mình cần gấp lắm!!!!
a: Sửa đề: \(\dfrac{2x-1}{11}+\dfrac{2x-2}{12}+\dfrac{2x-3}{13}=\dfrac{2x+5}{5}+\dfrac{2x+7}{3}+\dfrac{2x+4}{6}\)
\(\Leftrightarrow\dfrac{2x-1}{11}+1+\dfrac{2x-2}{12}+1+\dfrac{2x-3}{13}+1=\dfrac{2x+5}{5}+1+\dfrac{2x+7}{3}+1+\dfrac{2x+4}{6}+1\)
=>2x+10=0
hay x=-5
b: \(\dfrac{x-1}{2016}+\dfrac{x-2}{2015}+\dfrac{x-3}{2014}+\dfrac{x-4}{2013}+\dfrac{x-5}{2012}-5=0\)
\(\Leftrightarrow\left(\dfrac{x-1}{2016}-1\right)+\left(\dfrac{x-2}{2015}-1\right)+\left(\dfrac{x-3}{2014}-1\right)+\left(\dfrac{x-4}{2013}-1\right)+\left(\dfrac{x-5}{2012}-1\right)=0\)
=>x-2017=0
hay x=2017