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a. 3/5 . 15/7 - 15/7 . 8/5
= 15/7(3/5-8/5)
=15/7. -\(\frac{1}{1}\)
=22/7
b. 4/5 . 1 3/7 + 4/5 . 4/7
=4/5(13/7+4/7)
=4/5.17/7
= 68/35
M.N làm 1 bài thôi cũng được(1 tk)
Làm 2 bài 3 tk nha !
Tk lại mk với nha !
1+x=2
x=2-1
x=1
1.2.3.4.5.6.7.8.9.0=0
Tk mk nhé !
1)Tìm x, biết:
1+x=2
x=2-1
x=1
vậy ....
23:x=1
x=23:1
x=23
Vậy...
15.x:6=10
15.x=60
x=60:15
x=4
Vậy...
2)Tính nhanh biểu thức sau:
1+2+3+4+5+6+7+8+9=(1+9)+(2+8)+(7+3)+(6+4)+5
=10+10+10+10+5
=10.4+5
=40+5=45
1.2.3.4.5.6.7.8.9.0=0
1) \(x^2+\frac{8}{9}=\frac{41}{36}\)\(\Leftrightarrow x^2=\frac{1}{4}\Leftrightarrow x=\pm\frac{1}{2}\)
2) \(\left(x-3\right)^2+-\frac{9}{25}=\frac{2}{5}.\frac{8}{5}\)
\(\Leftrightarrow\left(x-3\right)^2=1\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=1\\x-3=-1\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=4\\x=2\end{cases}}\)
3) \(\frac{3}{11}.\frac{22}{6}-\left(x-1\right)^2=\frac{7}{16}\)
\(\Leftrightarrow\left(x-1\right)^2=\frac{9}{16}\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=\frac{3}{4}\\x-1=-\frac{3}{4}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{4}\\x=\frac{1}{4}\end{cases}}\)
4) \(1+\left(x+1\right)^3=\frac{37}{64}\)
\(\Leftrightarrow\left(x+1\right)^3=-\frac{27}{64}\)
\(\Rightarrow x+1=-\frac{3}{4}\)
\(\Leftrightarrow x=-\frac{7}{4}\)
5) \(\left(x-\frac{1}{2}\right)^2-\frac{9}{16}=1\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)^2=\frac{25}{16}\)
\(\Leftrightarrow\orbr{\begin{cases}x-\frac{1}{2}=\frac{5}{4}\\x-\frac{1}{2}=-\frac{5}{4}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{4}\\x=-\frac{3}{4}\end{cases}}\)
6) Bn ghi rõ đề nha mk ko hiểu
6 ) \(\frac{3-x}{5-x}=\left(\frac{-3}{5}\right)^2\)
\(\frac{3-x}{5-x}=\frac{9}{25}\Leftrightarrow\frac{3-x}{5-x}-\frac{9}{25}\Leftrightarrow\frac{75-25x}{125-25x}-\frac{45-9x}{125-5x}=0\)
\(\Rightarrow\frac{75-25-45+9x}{125-25x}=0\Leftrightarrow5+9x=0\Leftrightarrow x=\frac{-5}{9}\)
bài 1 :
a) S1=( 1 + 3 - 5 - 7 )+(9+11-13-15)+...+(393+395-397-399)
S1=(-8)+(-8)+...+(-8)
S1=(-8)*199
S1=-1592
b)S2=(1-2-3+4)+( 5 - 6 - 7 +8)+...+( 97 - 98 - 99 + 100)
S2=0+0+...+0
S2=0*100
S2=0
phần c và d tương tự nhé
BÀI 2
c)<=>2(x-1)+4 chia hết x-3
=>8 chia hết x-3
=>x-3\(\in\){-1,-2,-4,-8,1,2,4,8}
=>x\(\in\){2,1,-1,-5,4,5,7,11}
a) \(\frac{3}{8}+\frac{7}{12}+\frac{10}{16}+\frac{10}{24}\)
= \(\frac{3}{8}+\frac{7}{12}+\frac{5}{8}+\frac{5}{12}\)
=\(\left(\frac{3}{8}+\frac{5}{8}\right)+\left(\frac{7}{12}+\frac{5}{12}\right)\)
= \(\frac{8}{8}+\frac{12}{12}\)
= \(1+1\)
=\(2\)
b) \(\frac{4}{6}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{14}{6}\)
= \(\frac{2}{3}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{7}{3}\)
= \(\left(\frac{2}{3}+\frac{7}{3}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)+\left(\frac{17}{9}+\frac{1}{9}\right)\)
= \(\frac{9}{3}+\frac{26}{13}+\frac{18}{9}\)
= \(3+2+2\)
= \(7\)
Chúc bạn học tốt
Tính nhanh:
a, 3/8 + 7/12 + 10/16 + 10/24
= (3/8 + 10/16) + (7/12 + 10/24)
= (6/16 + 10/16) + (14/24 + 10/24)
= 16/16 + 24/24
= 1 + 1 = 2.
b, 4/6 + 7/13 + 17/9 + 19/13 + 1/9 + 14/6
= (4/6 + 14/6) + (7/13 + 19/13) + (17/9 + 1/9)
= 18/6 + 26/13 + 18/9
= 3 + 2 + 2 = 7.
1)Đưa về lũy thừa cùng cơ số 2
82= \(\left(2^3\right)^2=2^6\) 323= \(\left(2^5\right)^3=2^{15}\) 644= \(\left(2^6\right)^4=2^{24}\) 43= \(\left(2^2\right)^{^3}=2^6\)
2)Đưa về lũy thừa cùng cơ số 3
93= \(\left(3^2\right)^3=3^6\) 274= \(\left(3^3\right)^4=3^{12}\) 95= \(\left(3^2\right)^5=3^{10}\) 816= \(\left(3^4\right)^6=3^{24}\)
3)Đưa về lũy thừa cùng cơ số 2
83:42= \(\left(2^3\right)^3:\left(2^2\right)^2=2^9:2^4=2^5\) 162:32= \(\left(2^4\right)^2:2^5=2^8:2^5=2^3\)
\(64^4:4^3=\left(2^6\right)^4:\left(2^2\right)^3=2^{24}:2^6=2^{18}\) 323:82= \(\left(2^5\right)^3:\left(2^3\right)^2=2^{15}:2^6=2^9\)
5+9=14
8+6=14
2+5=7
7+6=13
4+16=20
5+9=14
8+6=14
2+5=7
7+6=13
4+16=20~Hok tốt a~