Question

Tìm x biết:|(x+2014)(x-2015)|+|(x-2015)(x+2016)|=0

Answer 1

|(x+2014)(x-2015)| + |(x-2015)(x+2016)| = 0

<=> |x²+2014x-2015x-2014.2015| + |x²-2015x+2016x-2015.2016| = 0

<=> |x²-x-2014.2015| + |x²+x-2015.2016| = 0

\(\Leftrightarrow\left\{\begin{matrix}x^2-x-2014.2015=0\\x^2+x-2015.2016=0\end{matrix}\right.\)\(\Leftrightarrow\left\{\begin{matrix}x\left(x-1\right)=2014.2015\\x\left(x+1\right)=2015.2016\end{matrix}\right.\)<=> x=2015

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