Toán x-1009/1001 + x-4/1003 + x+2010/1005=7 23/11/2021 By Valentina x-1009/1001 + x-4/1003 + x+2010/1005=7
$\dfrac{x-1009}{1001}+\dfrac{x-4}{1003}+\dfrac{x+2010}{1005} = 7$ $⇔ (\dfrac{x-1009}{1001}-1)+(\dfrac{x-4}{1003} – 2) + ( \dfrac{x+2010}{1005}-4)=0$ $⇔ \dfrac{x-2010}{1001}+\dfrac{x-2010}{1003}+\dfrac{x-2010}{1005}=0$ $⇔x-2010=0$ $⇔x=2010$ Trả lời
Đáp án: 2010 Giải thích các bước giải: \(\frac{x-1009}{1001}+\frac{x-4}{1003}+\frac{x+2010}{1005}=7\) \(\Leftrightarrow \frac{1003.1005.(x-1009)+1005.1001.(x-4)+1001.1003(x+2010)}{1005.1001.1003}=7\) \(\Leftrightarrow 1003.1005.x-1003.1005.1009+1005.1001.x-1005.1001.4+1001.1003.x+1003.1001.2010=7.1001.1005.1003\) \(\Leftrightarrow 3018023x=6066226230\) \(\Leftrightarrow x=2010\) Trả lời
$\dfrac{x-1009}{1001}+\dfrac{x-4}{1003}+\dfrac{x+2010}{1005} = 7$
$⇔ (\dfrac{x-1009}{1001}-1)+(\dfrac{x-4}{1003} – 2) + ( \dfrac{x+2010}{1005}-4)=0$
$⇔ \dfrac{x-2010}{1001}+\dfrac{x-2010}{1003}+\dfrac{x-2010}{1005}=0$
$⇔x-2010=0$
$⇔x=2010$
Đáp án:
2010
Giải thích các bước giải:
\(\frac{x-1009}{1001}+\frac{x-4}{1003}+\frac{x+2010}{1005}=7\)
\(\Leftrightarrow \frac{1003.1005.(x-1009)+1005.1001.(x-4)+1001.1003(x+2010)}{1005.1001.1003}=7\)
\(\Leftrightarrow 1003.1005.x-1003.1005.1009+1005.1001.x-1005.1001.4+1001.1003.x+1003.1001.2010=7.1001.1005.1003\)
\(\Leftrightarrow 3018023x=6066226230\)
\(\Leftrightarrow x=2010\)