1+3+5+7+9+...+x=100
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a) \(\dfrac{x-3}{x+5}=\dfrac{5}{7}\)
⇔\(7\left(x-3\right)=5\left(x+5\right)\)
⇔\(7x-21=5x+25\)
⇔\(7x-21-5x-25=0\)
⇔\(2x-46=0\)
⇔\(2x=46\)
⇔\(x=23\)
x-[17/2-6/35]=-1/3
x-583/70=-1/3
x=-1/3+583/70
x=1679/210
vậy x=1769/210
[2/3-(x-7/4)]=9/2+5/4
[2/3-(x-7/4)]=23/4
(x-7/4)=23/4+2/3
(x-7/4)=77/12
x=77/12+7/4
x=49/6
vậy x=49/6
a, 2/3 - 2/9 + 7/9 = 6/9 - 2/9 + 7/9 = 10/9
b, 7/6 + 3/5 : 6 = 7/6 + 3/5 x 1/6 = 7/6 + 1/10 = 70/60 + 6/10 = 76/10 = 38/5
c, x : 6/25 = 18
x = 18 x 6/25
x = 36/25
d, ( 2/5 + 4/7) : x = 17/5
29/35 : x = 17/5
x = 29/35 : 17/5
x = 29/119
\(a.\dfrac{2}{3}-\dfrac{2}{9}+\dfrac{7}{9}=\dfrac{6}{9}-\dfrac{2}{9}+\dfrac{7}{9}=\dfrac{4}{9}+\dfrac{7}{9}=\dfrac{11}{9}\\ b.\dfrac{7}{6}+\dfrac{3}{5}:6=\dfrac{7}{6}+\dfrac{3}{5}\times\dfrac{1}{6}=\dfrac{7}{6}+\dfrac{1}{10}=\dfrac{70}{60}+\dfrac{6}{60}=\dfrac{76}{60}=\dfrac{19}{15}\\ c.x:\dfrac{6}{25}=18\\ x=18\times\dfrac{6}{25}\\ x=\dfrac{108}{25}\\ d.\left(\dfrac{2}{5}+\dfrac{4}{7}\right):x=\dfrac{17}{5}\\ \dfrac{34}{35}:x=\dfrac{7}{5}\\ x=\dfrac{34}{35}:\dfrac{7}{5}\\ x=\dfrac{34}{49}\)
\(\frac{3}{5\times7}+\frac{3}{7\times9}+...+\frac{3}{117\times119}\)
\(=\frac{3}{2}\times\left(\frac{2}{5\times7}+\frac{2}{7\times9}+...+\frac{2}{117\times119}\right)\)
\(=\frac{3}{2}\times\left(\frac{7-5}{5\times7}+\frac{9-7}{7\times9}+...+\frac{119-117}{117\times119}\right)\)
\(=\frac{3}{2}\times\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{117}-\frac{1}{119}\right)\)
\(=\frac{3}{2}\times\left(\frac{1}{5}-\frac{1}{119}\right)=\frac{171}{595}\)
học ngu tự mà lm đi hỏi con mẹ mày
Ta có : 1+3+5+7+9+...+x=100
<=> (x+1).[(x-1):2+1]:2=100
(x+1).[x-1/2+1]=200
(x+1).x+1/2=200
(x+1).(x+1)=400
(x+1)2=400
=> \(\orbr{\begin{cases}x+1=20\\x+1=-20\end{cases}}\)
Mà 1+3+5+7+9+...+x=100
Nên x+1=20
=> x=19