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\(C=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{199.200}\)
\(\Rightarrow C=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{199}-\frac{1}{200}\)
\(\Rightarrow C=\frac{1}{2}-\frac{1}{200}\)
\(\Rightarrow C=\frac{99}{200}\)
\(C=\frac{1}{2}x\frac{3}{4}x\frac{4}{5}x......x\frac{199}{200}\)
\(C=\frac{1x3x4x......x199}{2x4x5x......200}\)
\(C=\frac{1x3}{2}\)
\(C=\frac{3}{2}\)
a) 5x.(-x)2 + 1 = 6
<=> 5x.x2 = 5
<=> 5x3 = 5
<=> x3 = 1
<=> x = 1
b) 4.x3 = 4x
4x3 - 4x = 0
4x.(x2 - 1) = 0
\(\Leftrightarrow\orbr{\begin{cases}4x=0\\x^2-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x^2=1\end{cases}}\)
Với \(x^2=1\)
\(\Leftrightarrow\orbr{\begin{cases}x=1\\x=-1\end{cases}}\)
c) xy = x + y
x + y - xy = 0
x + y - xy - 1 = 0
(x - xy) - (1 - y) = 0
x(1 - y) - (1 - y) = 0
(x - 1)(1 - y) = 0
\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\1-y=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=1\\y=1\end{cases}}\)
d) Tương tự
a) /2x + 1/ = 4
=> 2x + 1 = 4 hoặc 2x + 1 = -4
Nếu 2x + 1 = 4
=> x = \(\frac{3}{2}\)
Nếu 2x + 1 = -4
=> x = \(\frac{-5}{2}\)
Vậy x = \(\frac{3}{2}\) hoặc x = \(\frac{-5}{2}\)
b) 5x - 3 = 4x -7
=> ( 5x - 3 ) - ( 4x - 7 ) = 0
=> 5x - 3 - 4x + 7 = 0
=> ( 5x - 4x ) - ( 3 - 7 ) = 0
=> x + 4 = 0
=> x = -4
Vậy x = -4
Ta có : \(\left|5x-4\right|=\left|x+2\right|\)
\(\Leftrightarrow\orbr{\begin{cases}5x-4=x+2\\5x-4=-x-2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}5x-x=2+4\\5x+x=-2+4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x=6\\6x=2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=\frac{1}{3}\end{cases}}\)
b) \(\left|2x-3\right|-\left|3x+2\right|=0\)
\(\Rightarrow\orbr{\begin{cases}2x-3=3x+2\\2x-3=-3x-2\end{cases}\Rightarrow\orbr{\begin{cases}2x-3x=2+3\\2x+3x=-2+3\end{cases}\Rightarrow}\orbr{\begin{cases}-x=5\\5x=1\end{cases}\Rightarrow}\orbr{\begin{cases}x=-5\\x=\frac{1}{5}\end{cases}}}\)
c)/2+3x/=/4x-3/
\(\Rightarrow\orbr{\begin{cases}2+3x=4x-3\\2+3x=-\left(4x-3\right)\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x-4x=-3-2\\3x+4x=3-2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}-x=-5\\7x=1\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=\frac{1}{7}\end{cases}}}\)
d)/7x+1/-/5x+6|=0
\(\Rightarrow\left|7x+1\right|=\left|5x+6\right|\)
\(\Rightarrow\orbr{\begin{cases}7x+1=5x+6\\7x+1=-\left(5x+6\right)\end{cases}\Rightarrow\orbr{\begin{cases}7x-5x=6-1\\7x+1=-5x-6\end{cases}\Rightarrow}\orbr{\begin{cases}2x=5\\7x+5x=-6-1\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{5}{2}\\x=-\frac{7}{12}\end{cases}}}\)
\(4x+3⋮x-2\Leftrightarrow4\left(x-2\right)+11⋮x-2\Leftrightarrow11⋮x-2\)
hay \(x-2\inƯ\left(11\right)=\left\{1;11\right\}\)
x - 2 | 1 | 11 |
x | 3 | 13 |
3/4x + 1/5x= 1/6
(3/4 + 1/5 )x = 1/6
19/20x =1/6
x = 1/6 :19/20
x = 10/57
bn tính lại nhé, vì mk k chắc kq đúng, mk chỉ hướng dẫn cách lm thui
\(\frac{3}{4}x+\frac{1}{5}x=\frac{1}{6}\)
\(x.\left(\frac{3}{4}+\frac{1}{5}\right)=\frac{1}{6}\)
\(x.\frac{19}{20}=\frac{1}{6}\)
\(x=\frac{1}{6}:\frac{19}{20}\)
\(x=\frac{10}{57}\)