Question

Tìm x biết: a) (2x-3)²⁰¹²+(y-\(\frac{2}{5}\))²⁰¹⁴+|x+y-z|=0

b) 2015-|x-2015|=x

c) 5-|3-x|=2x+9

d) |x-999|+|1998-2x|=0

e) |x-1004|+|2008-2x|=0

Answer 1

a: \(\left(2x-3\right)^{2012}+\left(y-\dfrac{2}{5}\right)^{2014}+\left|x+y-z\right|=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}2x-3=0\\y-\dfrac{2}{5}=0\\x+y-z=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{3}{2}\\y=\dfrac{2}{5}\\z=\dfrac{19}{10}\end{matrix}\right.\)

b: 2015-|x-2015|=x

=>|x-2015|=2015-x

=>x-2015<=0

hay x<=2015

d: |x-999|+|1998-2x|=0

=>x-999=0

hay x=999