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1.Tìm x , biết
.2x -1/2-1/6-1/12-...- 1/49*50=7-1/50+x
=> 2x- ( 1/2+1/6+1/12+...1/ 49.50 )= 7-1/50+x
=> 2x -( 1/1.2 + 1/2.3+1/3.4+...+1/49.50)= 7-1/50+x
=> 2x - ( 1- 1/2+ 1/2-1/3+1/3-1/4+...+1/49-1/50) = 7-1/50 + x
=> 2x - ( 1-1/50) =7-1/50 + x
=> 2x- 1+ 1/50=7-1/50+ x
=> 1+1/50= 2x- (7 - 1/50+ x)
=> 1+1/50 = 2x- 7 + 1/50- x
=> 1+1/50 = x + 1/50 - 7
=> 1 = x + 1/50 - 7 - 1/50
=> 1 = x - 7
=> x = 8
Vậy...
Tham khảo thêm:Câu hỏi của Cừu beta - Toán lớp 7 - Học toán với OnlineMath
LinkCâu hỏi của Cừu beta - Toán lớp 7 - Học toán với OnlineMath
2x - \(\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-....-\frac{1}{49.50}\)= 7-\(\frac{1}{50}\)+x
2x - x - \(\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{49.50}\right)\)= 7 - \(\frac{1}{50}\)
x - \(\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\right)\)= \(\frac{349}{50}\)
x - \(\left(1-\frac{1}{50}\right)\)=\(\frac{349}{50}\)
x - \(\frac{49}{50}\)=\(\frac{349}{50}\)
x = \(\frac{349}{50}+\frac{49}{50}\)
x = \(\frac{199}{25}\)
\(2x-\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-....-\frac{1}{49.50}=7+\frac{1}{50}+x\)
\(2x-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+....+\frac{1}{49.50}\right)=7+\frac{1}{50}+x\)
\(2x-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+.....+\frac{1}{49.50}\right)=7+\frac{1}{50}+x\)
\(2x-\left(\frac{1}{1}-\frac{1}{50}\right)=7+\frac{1}{50}+x\)
\(2x-1+\frac{1}{50}=7+\frac{1}{50}+x\)
=> 2x - 1 = 7 + x
=> 2x - x = 7 + 1
=> x = 8
\(2x-\dfrac{1}{2}-\dfrac{1}{6}-\dfrac{1}{12}-...-\dfrac{1}{49\cdot50}=7-\dfrac{1}{50}+x\)
\(\Leftrightarrow2x-\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{49}-\dfrac{1}{50}\right)=x+\dfrac{349}{50}\)
\(\Leftrightarrow2x-\dfrac{49}{50}-x-\dfrac{349}{50}=0\)
=>x=398/50=199/25
#)Giải :
\(2x-3=x+\frac{1}{2}\)
\(\Leftrightarrow2x-3-x+\frac{1}{2}=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x-3=0\\x+\frac{1}{2}=0\end{cases}}\Rightarrow\orbr{\begin{cases}2x=3\\x=-\frac{1}{2}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=-\frac{1}{2}\end{cases}}}\)
a) \(2x-3=x+\frac{1}{2}\)
\(\Leftrightarrow2x-x=\frac{1}{2}+3\)
\(\Leftrightarrow x=\frac{7}{2}\)
Vậy...
b) \(4x-\left(2x+1\right)=3-\frac{1}{3}+x\)
\(\Leftrightarrow4x-2x-1=3-\frac{1}{3}+x\)
\(\Leftrightarrow4x-2x-x=3-\frac{1}{3}+1\)
\(\Leftrightarrow x=\frac{11}{3}\)
Vậy ...
c) \(2x-\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-...-\frac{1}{49.50}=7-\frac{1}{50}+x\)
\(\Leftrightarrow2x-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{49.50}\right)=\frac{349}{50}+x\)
\(\Leftrightarrow2x-\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{49.50}\right)=\frac{349}{50}+x\)
\(\Leftrightarrow2x-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{49}-\frac{1}{50}\right)=\frac{349}{50}+x\)
\(\Leftrightarrow2x-\left(1-\frac{1}{50}\right)=\frac{349}{50}+x\)
\(\Leftrightarrow2x-\frac{49}{50}=\frac{349}{50}+x\)
\(\Leftrightarrow2x-x=\frac{349}{50}+\frac{49}{50}\)
\(\Leftrightarrow x=\frac{199}{25}\)
Vậy ...
Mk giải câu 1 nha
1) 2x - 3 = x + 1/2
➡️2x - x = 1/2 + 3
➡️x = 7/2
Hok tốt~
a) \(2x\left(3x+1\right)+3x\left(4-2x\right)=7\)
\(\Rightarrow6x^2+2x+12x-6x^2=7\)
\(\Rightarrow14x=7\Rightarrow x=\frac{1}{2}\)
b) \(4\left(18-5x\right)-12\left(3x-7\right)=15\left(2x-16\right)-6\left(x+14\right)\)
\(72-20x-36x+84=30x-240-6x-84\)
\(\Rightarrow-20x-36x-30x+6x=-240-84-72-84\)
\(-80x=-480\)
x = 6
c) \(\left(3x+2\right).\left(2x+9\right)-\left(x+2\right).\left(6x+1\right)=\left(x+1\right)-\left(x-6\right)\)
\(\Rightarrow6x^2+4x+27x+18-6x^2-12x-x-2=x+1-x+6\) ( chỗ này bn tự phân tích ik nha, mk chỉ đưa ra kp sau khi phân tích thôi, ko thì viết ra dài lắm)
\(\Rightarrow18x+16=7\)
18x = -9
x = -2
18x =