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\(a,x-7\frac{5}{8}=1\frac{1}{4}\)
=> \(x-\frac{61}{8}=\frac{5}{4}\)
=> \(x=\frac{5}{4}+\frac{61}{8}\)
=> \(x=\frac{10}{8}+\frac{61}{8}=\frac{71}{8}=8\frac{7}{8}\)
\(b,x+7\frac{5}{8}=9\frac{1}{4}\)
=> \(x+\frac{43}{5}=\frac{37}{4}\)
=> \(x=\frac{37}{4}-\frac{43}{5}=\frac{13}{20}\)
\(c,\left[x-7\frac{5}{8}\right]:\frac{1}{2}=3\)
=> \(\left[x-\frac{61}{8}\right]=3\cdot\frac{1}{2}\)
=> \(\left[x-\frac{61}{8}\right]=\frac{3}{2}\)
=> \(x-\frac{61}{8}=\frac{3}{2}\)
=> \(x=\frac{3}{2}+\frac{61}{8}=\frac{12}{8}+\frac{61}{8}=\frac{73}{8}=9\frac{1}{8}\)
d, \(\frac{x}{1\cdot3}+\frac{x}{3\cdot5}+\frac{x}{5\cdot7}+...+\frac{x}{97\cdot99}=99\)
=> \(\frac{x}{2}\left[\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+...+\frac{2}{97\cdot99}\right]=99\)
=> \(\frac{x}{2}\left[1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{97}-\frac{1}{99}\right]=99\)
=> \(\frac{x}{2}\left[1-\frac{1}{99}\right]=99\)
=> \(\frac{x}{2}\cdot\frac{98}{99}=99\)
=> \(\frac{98x}{198}=99\)
=> 98x = 99 . 198
=> 98x = 19602
=> x = 19602 : 98 = 9801/49
a) \(x-7\frac{5}{8}=1\frac{1}{4}\)
=> \(x=\frac{5}{4}+\frac{61}{8}\)
=> \(x=\frac{71}{8}\)
b) \(x+7\frac{5}{8}=9\frac{1}{4}\)
=> \(x=\frac{37}{4}-\frac{61}{8}\)
=> \(x=\frac{13}{8}\)
c) \(\left(x-7\frac{5}{8}\right):\frac{1}{2}=3\)
=> \(x-\frac{61}{8}=3.\frac{1}{2}\)
=> \(x-\frac{61}{8}=\frac{3}{2}\)
=> \(x=\frac{3}{2}+\frac{61}{8}\)
=> \(x=\frac{73}{8}\)
d) \(\frac{x}{1.3}+\frac{x}{3.5}+...+\frac{x}{97.99}=99\)
=> \(x.\frac{1}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+...+\frac{2}{97.99}\right)=99\)
=> \(\frac{1}{2}x\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+....+\frac{1}{97}-\frac{1}{99}\right)=99\)
=> \(x\left(1-\frac{1}{99}\right)=99:\frac{1}{2}\)
=> \(x.\frac{98}{99}=198\)
=> \(x=198:\frac{98}{99}=\frac{9801}{49}\)
Ta có bảng
| x+5 | 25 | 1 | -1 | -25 | 5 | -5 |
| y-5 | 1 | 25 | -25 | -1 | 5 | -5 |
| x | 22 | -4 | -6 | -30 | 0 | -10 |
| y | 6 | 30 | -20 | 4 | 10 | 0 |
(x+3).(y-5)=25
Ta có:các số nhân nhau bằng 25 là:5x5
=>x+3=5 và y-5=5
x=5-3 y=5+5
x=2 y=10
Vậy:x=2;y=10 chúc bạn học tốt
a, 17-(2+x)=3
=> x+2= 14
=> x=12
b, (6+x)+(17-21)= -25
6+x- 4= -25
=> x+2=-25
=> x= -27
c, nhận xét / x-1/>=0
=> x-1= 3
=> x=4
(x - 2)(y + 3) = 7
\(\Rightarrow\) x - 2 và y + 3 \(\in\) Ư(7)
Ư(7) = {1; -1; 7; -7}
Xét các TH:
\(\left[{}\begin{matrix}\left\{{}\begin{matrix}x-2=7\\y+3=-1\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=9\\y=-4\end{matrix}\right.\\\left\{{}\begin{matrix}x-2=-7\\y+3=1\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=-5\\y=-2\end{matrix}\right.\\\left\{{}\begin{matrix}x-2=1\\y+3=7\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=3\\y=4\end{matrix}\right.\\\left\{{}\begin{matrix}x-2=-1\\y+3=-7\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=1\\y=-10\end{matrix}\right.\end{matrix}\right.\)
Vậy x \(\in\) {9; -5; 3; 1} thì y \(\in\) {-4; -2; 4; -10}
Mình làm mẫu phần này thì (x + 3)(y + 5) = -6 cũng vậy nha!
y + 3 chia hết cho x + 1 và 2x - 5 chia hết cho x + 4 mk làm sau nha!
Chúc bn học tốt
a) \(\frac{x-1}{99}+\frac{x-2}{98}+\frac{x-3}{97}+\frac{x-4}{96}=4\)
\(\Rightarrow\frac{x-1}{99}-1+\frac{x-2}{98}-1+\frac{x-3}{97}-1+\frac{x-3}{96}-1=4-4\)
\(\Rightarrow\frac{x-100}{99}+\frac{x-100}{98}+\frac{x-100}{97}+\frac{x-100}{96}=0\)
\(\Rightarrow\left(x-100\right)\left(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}+\frac{1}{96}\right)=0\)
\(\Rightarrow x-1=0\) ( vì \(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}+\frac{1}{96}\ne0\) )
Vậy x = 1
b) \(\frac{x+1}{99}+\frac{x+2}{98}+\frac{x+3}{97}=3\)
\(\Rightarrow\frac{x+1}{99}+1+\frac{x+2}{98}+1+\frac{x+3}{97}+1=3-3\)
\(\Rightarrow\frac{x+100}{99}+\frac{x+100}{98}+\frac{x+100}{97}=0\)
\(\Rightarrow\left(x+100\right).\left(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}\right)=0\)
Vì \(\frac{1}{99}+\frac{1}{98}+\frac{1}{97}\ne0\)
=> x + 100 = 0
=> x = -100
c) \(\frac{x-1}{99}+\frac{x-2}{49}+\frac{x-4}{32}=6\)
\(\Rightarrow\frac{x-1}{99}-1+\frac{x-2}{49}-2+\frac{x-4}{32}-3=6-6\)
\(\Rightarrow\frac{x-100}{99}+\frac{x-100}{49}+\frac{x-100}{32}=0\)
\(\Rightarrow\left(x-100\right)\left(\frac{1}{99}+\frac{1}{49}+\frac{1}{32}\right)=0\)
Vì \(\frac{1}{99}+\frac{1}{49}+\frac{1}{32}\ne0\)
=> x - 100 = 0
=> x = 100
Chúc bạn học tốt
có người khác trả lời trước rồi nên chị ko trả lời đâu nhé em trai
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)(x+1)+(x+2)+...+(x+30)=795
(x+x+...+x)+(1+2+3+...+30)=795
30x+465=795
30x=795-465
30x=330
x=330/30
x=11
b)(x+1)+(x+3)+...+(x+99)=5100
(x+x+...+x)+(1+3+...+99)=5100
50x+2500=5100
50x=5100-2500
50x=2600
x=2600/50
x=52