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có:
(1994-1)+1=1994
Tổng là:
1994x(1994+1):2=1989015
Đáp số:1989015
![](https://rs.olm.vn/images/avt/0.png?1311)
e) \(\left(\dfrac{-1}{3}\right)\cdot\dfrac{5}{7}=\dfrac{\left(-1\right)\cdot5}{3\cdot7}=\dfrac{-5}{21}\)
f) \(\dfrac{2}{7}:\dfrac{3}{4}=\dfrac{2}{7}\cdot\dfrac{4}{3}=\dfrac{8}{21}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
a) \(\frac{4^2\cdot25^2+16\cdot125}{2^3\cdot5^2}=\frac{2^4\cdot5^4+2^4\cdot5^3}{2^3\cdot5^2}=\frac{2^4\cdot5^3\cdot\left(5+1\right)}{2^3\cdot5^2}=2\cdot5\cdot6=60\)
b) \(\frac{6^8\cdot2^4-4^5\cdot18^4}{27^3\cdot8^4-3^9\cdot2^{13}}=\frac{2^8\cdot3^8\cdot2^4-2^{10}\cdot2^4\cdot3^8}{3^9\cdot2^{12}-3^9\cdot2^{13}}=\frac{2^{12}\cdot3^8-2^{14}\cdot3^8}{3^9\cdot2^{12}\cdot\left(1-2\right)}=\frac{2^{12}\cdot3^8\cdot\left(1-2^2\right)}{3^9\cdot2^{12}\cdot\left(-1\right)}\)
\(=\frac{2^2-1}{3}=\frac{3}{3}=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(3x\left(2x+1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x+1=0\\3x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=-1\\x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=0\end{cases}}\)
\(\frac{\frac{6}{5}+\frac{6}{35}-\frac{6}{125}-\frac{6}{2009}-\frac{6}{2011}}{\frac{7}{5}+\frac{7}{35}-\frac{7}{125}-\frac{7}{2009}-\frac{7}{2011}}\)
\(=\frac{6.(\frac{1}{5}+\frac{1}{35}-\frac{1}{125}-\frac{1}{2009}-\frac{1}{2011})}{7.(\frac{1}{5}+\frac{1}{35}-\frac{1}{125}-\frac{1}{2009}-\frac{1}{2011})}\)
\(=\frac{6}{7}\)
Tìm x
\(a,3x(2x+1)=0\)
\(\Rightarrow\hept{\begin{cases}3x=0\\2x+1=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=0\\x=\frac{-1}{2}\end{cases}}\)
Vậy \(x=0\)hoặc \(x=\frac{-1}{2}\)
\(b.\frac{2}{3}-\frac{1}{3}(x-\frac{3}{2})-\frac{1}{2}(2x+1)=5\)
\(\frac{2}{3}-\frac{1}{3}x+\frac{1}{2}-x-\frac{1}{2}=5\)
\(\frac{2}{3}+\frac{1}{2}-\frac{1}{2}-x(\frac{1}{3}+1)=5\)
\(\frac{4}{3}x=\frac{2}{3}-5\)
\(\frac{4}{3}x=\frac{-13}{3}\)
\(x=\frac{-13}{3}\div\frac{4}{3}\)
\(x=\frac{-13}{4}\)
Chúc ban học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
4x3 + 15 = 47
4x3 = 32
x3 = 8
=> x = 2
4.2x - 3 = 125
4.2x = 128
2x = 32
=> x = 5
**** cho mình nha
\(a,4.x^3+15=47\)
\(4.x^3=47-15\)
\(4.x^3=32\)
\(x^3=32:4\)
\(x^3=8\)
\(x^3=2^3\)
\(=>x=2\)
Vậy \(x=2\)
\(b,4.2^x-3=125\)
\(4.2^x=125+3\)
\(4.2^x=128\)
\(2^x=128:4\)
\(2^x=32\)
\(2^x=2^5\)
\(=>x=5\)
Vậy \(x=5\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{7}{4}.\dfrac{29}{5}-\dfrac{7}{5}.\dfrac{9}{4}+3\dfrac{2}{15}\) (đổi hỗn số ra phân số)
\(=\) \(\dfrac{7}{4}.\dfrac{29}{5}-\dfrac{7}{5}.\dfrac{9}{4}+\dfrac{47}{15}\) (nhân, chia trước cộng, trừ sau lấy \(\dfrac{7}{4}.\dfrac{29}{5}\)và lấy \(\dfrac{7}{5}.\dfrac{9}{4}\) ra kết quả rồi \(+\dfrac{47}{15}\))
\(=\dfrac{203}{20}-\dfrac{63}{20}+\dfrac{47}{15}\) (cộng, trừ thì cộng, trừ từ trái sang phải)
\(=7+\dfrac{47}{15}=\dfrac{7}{1}+\dfrac{47}{15}\)
\(=\dfrac{105}{15}+\dfrac{47}{15}\)
\(=\dfrac{152}{15}\)
NHỮNG CHỮ IN ĐẬM BẠN KHÔNG CẦN GHI
![](https://rs.olm.vn/images/avt/0.png?1311)
\(C=\dfrac{-5}{7}+\dfrac{-2}{7}+\dfrac{3}{4}+\dfrac{1}{4}+\dfrac{-1}{5}=-1+1-\dfrac{1}{5}=\dfrac{-1}{5}\)
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S1=1+(-2)+(-3)+4+5+(-6)+(-7)+8+...+1997+(-1998)+(-1999)+2000
S1=(1+4-2-3)+(5+8-6-7)+...+(1997+2000-1998-1999)
S1=0+0+...+0
S1=0
câu 2
S2=1+3+4+5+...+99-(2+4+6+...+100)
S2=51.50-(50.51)
S2=0
tich nha
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1+2-3-4+5+6-7-8+..........+97+98-99-100
=(1+2-3-4)+(5+6-7-8)+.........+(97+98-99-100)
=(-4)+(-4)+.....+(-4) (25 số -4)
=(-4)x25
=-100
4.(-2)3-7.(-4)
= 4.(-8)-(-28)
= -32+28
= -4
(2y+1)3=-125
=> (2y+1)3=(-5)3
=> 2y+1=-5
=> 2y=-5-1
=> 2y=-6
=> y=-6:2
=> y=-3.