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a) 3.2x+(-1.2)x+2.7= -4.9
⇔(3.2-1.2)x= -4.9-2.7
⇔2x= -7.6
⇔x= -7.6:2
⇔x= -3.8
b) \(\dfrac{37-x}{x+13}\)=\(\dfrac{3}{7}\)
⇔(37-x)*7=(x+13)*3
⇔259-7x=3x+39
⇔259-39=3x+7x
⇔220=10x
⇔x= 220:10
⇔x=22
3.2.x+1.2.x+2.7=-4.9
6.x+2.x+14=-36
(6+2).x+14=-36
8.x+14=-36
8x=-36-14
8x=-50
x=-50:8
x=-6,25
a: 3,2x-1,2x+2,7=-4,9
=>2x=-7,6
hay x=-3,8
b: =>x(-5,6+2,9)=-9,8+3,86
=>-2,7x=-5,94
hay x=2,2
b) \(\left(x-3\right)^2=0,25\)
\(\Rightarrow\left(x-3\right)^2=\left(\pm0,5\right)^2\)
\(\Rightarrow x-3=\pm0,5.\)
\(\Rightarrow\left[{}\begin{matrix}x-3=0,5\\x-3=-0,5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0,5+3\\x=\left(-0,5\right)+3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3,5\\x=2,5\end{matrix}\right.\)
Vậy \(x\in\left\{3,5;2,5\right\}.\)
c) \(\left(2x-1,5\right)^3=\left(-0,27\right)\) (câu này sai đề rồi nhé).
d) \(3.2x+\left(-1,2\right).x+2,7=\left(-4,9\right)\)
\(\Rightarrow3.2x+\left(-1,2\right).x=\left(-4,9\right)-2,7\)
\(\Rightarrow3.2x+\left(-1,2\right).x=-7,6\)
\(\Rightarrow6.x+\left(-1,2\right).x=-7,6\)
\(\Rightarrow\left[6+\left(-1,2\right)\right].x=-7,6\)
\(\Rightarrow4,8.x=-7,6\)
\(\Rightarrow x=\left(-7,6\right):4,8\)
\(\Rightarrow x=-\frac{19}{12}\)
Vậy \(x=-\frac{19}{12}.\)
Chúc bạn học tốt!
b) (x-3)\(^2\) = 0,25
(x-3)\(^2\) = (0,5)\(^2\)
x-3 = 0,5
x = 0,5 + 3
x = 0,8
Bài 1:
\(A=\dfrac{3}{1.4}+\dfrac{5}{4.9}+\dfrac{7}{9.16}+\dfrac{9}{16.25}+\dfrac{11}{25.36}\)
\(=1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{16}+\dfrac{1}{16}-\dfrac{1}{25}+\dfrac{1}{25}-\dfrac{1}{36}\)
\(=1-\dfrac{1}{36}=\dfrac{35}{36}\)
\(B=\dfrac{3}{1.4}+\dfrac{3}{4.7}+...+\dfrac{3}{100.103}\)
\(=1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+...+\dfrac{1}{100}-\dfrac{1}{103}\)
\(=1-\dfrac{1}{103}=\dfrac{102}{103}\)
\(C=\dfrac{3}{1.4}+\dfrac{6}{4.10}+\dfrac{9}{10.19}+\dfrac{12}{19.31}+\dfrac{15}{31.46}+\dfrac{18}{46.64}\)
\(=1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{19}+\dfrac{1}{19}-\dfrac{1}{31}+\dfrac{1}{31}-\dfrac{1}{46}+\dfrac{1}{46}-\dfrac{1}{64}\)
\(=1-\dfrac{1}{64}=\dfrac{63}{64}\)
Bài 2:
\(\dfrac{1}{1.2}+\dfrac{1}{3.4}+\dfrac{1}{5.6}+...+\dfrac{1}{49.50}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{5}-\dfrac{1}{6}+...+\dfrac{1}{49}-\dfrac{1}{50}\)
\(=\left(1+\dfrac{1}{3}+\dfrac{1}{5}+...+\dfrac{1}{49}\right)-\left(\dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{50}\right)\)
\(=\left(1+\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{49}+\dfrac{1}{50}\right)-2\left(\dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{50}\right)\)
\(=\left(1+\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{50}\right)-\left(1+\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{25}\right)\)
\(=\dfrac{1}{26}+\dfrac{1}{27}+\dfrac{1}{28}+...+\dfrac{1}{50}\left(đpcm\right)\)
\(3.2\times x\left(-1.2\right)\times x+2.7=-4.9\) câu a nhé
\(-5.6\times x+2.9\times x-3.86=-9.8\) câu b nhé
cảm ơn các bạn nhìu
3.2x+(-1.2)*x+2.7=-4.9
(3.2+(-1.2)*x=-4.9-2.7
2*x=-76
x=-76/2
x=-38