X x 25 - x = 25 x 23 +25
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17 tháng 2 2022
\(\Leftrightarrow\dfrac{29-x}{21}+1+\dfrac{27-x}{23}+1+\dfrac{25-x}{25}+1+\dfrac{23-x}{27}+1=0\)
\(\Leftrightarrow\dfrac{50-x}{21}+\dfrac{50-x}{23}+\dfrac{50-x}{25}+\dfrac{50-x}{27}=0\)
\(\Leftrightarrow\left(50-x\right)\left(\dfrac{1}{21}+\dfrac{1}{23}+\dfrac{1}{25}+\dfrac{1}{27}\ne0\right)=0\Leftrightarrow x=50\)
17 tháng 2 2022
\(\dfrac{29-x}{21}+\dfrac{27-x}{23}+\dfrac{25-x}{25}+\dfrac{23-x}{27}=-4\\ \Leftrightarrow\left(\dfrac{29-x}{21}+1\right)+\left(\dfrac{27-x}{23}+1\right)+\left(\dfrac{25-x}{25}+1\right)+\left(\dfrac{23-x}{27}+1\right)=0\\ \Leftrightarrow\dfrac{50-x}{21}+\dfrac{50-x}{23}+\dfrac{50-x}{25}+\dfrac{50-x}{27}=0\\ \Leftrightarrow\left(50-x\right)\left(\dfrac{1}{21}+\dfrac{1}{23}+\dfrac{1}{25}+\dfrac{1}{27}\right)=0\\ \Leftrightarrow50-x=0\left(vì.\dfrac{1}{21}+\dfrac{1}{23}+\dfrac{1}{25}+\dfrac{1}{27}\ne0\right)\\ \Leftrightarrow x=50\)
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AM
21 tháng 3 2020
Ta có: 25+24+23+...+x+(x-2)+(x-3)=25
\(\Leftrightarrow24+23+22+...+4+3+2+1+3x-2-3=0\)
\(\Leftrightarrow24+23+...+4+3x=0\)(1)
Từ 4 đến 23 có: \(\frac{23-4}{1}+1=20\) số
Từ 4 đến 23 có: \(\frac{20}{2}=10\)cặp số
Tổng từ 4 đến 24 là: 10.(23+4)+24=294
(1) \(\Leftrightarrow\)294+3x=0 \(\Leftrightarrow x=-98\)
21 tháng 3 2019
\(\frac{29-x}{21}+\frac{27-x}{23}+\frac{25-x}{25}+\frac{23-x}{27}+\frac{21-x}{29}=-5.\)
\(\left(\frac{29-x}{21}+1\right)+\left(\frac{27-x}{23}+1\right)+\left(\frac{25-x}{25}+1\right)+\left(\frac{23-x}{27}+1\right)+\left(\frac{21-x}{29}+1\right)\)\(=0\)
\(\frac{50-x}{21}+\frac{50-x}{23}+\frac{50-x}{25}+\frac{50-x}{27}+\frac{50-x}{29}=0\)
\(\left(50-x\right).\left(\frac{1}{21}+\frac{1}{23}+\frac{1}{25}+\frac{1}{27}+\frac{1}{29}\right)=0\)
=> 50 - x = 0 \(\left(\frac{1}{21}+\frac{1}{23}+\frac{1}{25}+\frac{1}{27}+\frac{1}{29}\ne0\right)\)
=> x = 50
\(x\times25-x=25\times23+25\)
\(x\times\left(25-1\right)=25\times\left(23+1\right)\)
\(x\times24=25\times24\)
\(x=\left(25\times24\right):24\)
\(x=25\)
X x (25 - 1) = 25 x (23 +1)
X x 24= 25 x 24
X x 25 = 24 : 24
X x 25 = 1
X = 25 : 1
X = 25