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280 - ( x - 140 ) : 35 = 270
<=> ( x - 140 ) : 35 = 280 -270
<=> ( x -140 ) : 35 = 10
<=> x -140 = 10 . 35
<=> x -140 = 350
<=> x = 350 + 140
<=> x = 490
1) 280 - ( x - 140 ) : 35 = 270
=> ( x - 140 ) : 35 = 280 - 270 = 10
x - 140 = 350
=> x = 350 + 140
=> x = 390
2) ( 190 - 2x ) : 35 - 32 = 16
190 - 2x = ( 16 + 32 ) . 35 = 1680
x = ( 190 - 1680 ) : 2
x = -745
3) 720 : { 41 - ( 2x - 5 )} -2.5
Sai đề.
4) ( x : 23 + 45 ) . 37 - 22 = 24 .105
x : 23 + 45 = ( 24.105 + 22 ) : 37
x : 23 = 2542/37 - 45 = 877/37
x = 877/37.23 = 20171/37
5) ( 3x - 4 ) ( x - 1 ) = 0
=> 3x - 4 = 0 hoặc x - 1 = 0
3x - 4 = 0 hoặc x - 1 = 0
=> x = 4/3 => x = 1
Vậy x \(\in\) { 4/3;1 }
6) 22x : 4 = 83
=> 22x = 83 . 4 = 2048 = 211
=> 2x = 11
=> x = 11/2
\(\frac{x+15}{35}+\frac{x+16}{36}=\frac{x+17}{37}+\frac{x+18}{38}\)
\(\frac{x+15}{35}-1+\frac{x+16}{36}-1=\frac{x+17}{37}-1+\frac{x+18}{38}-1\)
\(\frac{x-20}{35}+\frac{x-20}{36}-\frac{x-20}{37}-\frac{x-20}{38}=0\)
\(\left(x-20\right)\left(\frac{1}{35}+\frac{1}{36}-\frac{1}{37}-\frac{1}{38}\right)=0\)
\(\Rightarrow x-20=0\Rightarrow x=20\)
Vậy x=20
\(\frac{x+15}{35}+\frac{x+16}{36}=\frac{x+17}{37}+\frac{x+18}{38}\)
\(\Leftrightarrow\frac{x+15}{35}.885780+\frac{x+16}{36}.885780=\frac{x+17}{37}.885780+\frac{x+18}{38}.885780\)
\(\Leftrightarrow25308\left(x+15\right)+24605\left(x+16\right)=23940\left(x+17\right)+23310\left(x+18\right)\)
\(\Leftrightarrow49913x+773300=47250x+826560\)
\(\Leftrightarrow49913x=47250x+53260\)
\(\Leftrightarrow49913x-47250x=47250x+53260-47250x\)
\(\Leftrightarrow2663x=53260\)
\(\Leftrightarrow x=20\)
\(\Rightarrow x=20\)
a) \(\dfrac{2}{3}\left(x+1\right)-\dfrac{4}{5}\left(x+2\right)=\dfrac{35}{2}\)
\(\Rightarrow\dfrac{2}{3}x+\dfrac{2}{3}-\dfrac{4}{5}x-\dfrac{8}{5}=\dfrac{35}{2}\)
\(\Rightarrow\left(\dfrac{2}{3}-\dfrac{4}{5}\right)x+\left(\dfrac{2}{3}-\dfrac{8}{5}\right)=\dfrac{35}{2}\)
\(\Rightarrow-\dfrac{2}{15}x-\dfrac{14}{15}=\dfrac{35}{2}\)
\(\Rightarrow-\dfrac{2}{15}x=\dfrac{553}{30}\)
\(\Rightarrow x=\dfrac{553}{30}:-\dfrac{2}{15}\)
\(\Rightarrow x=-\dfrac{553}{4}\)
b) \(4\left(x-2\right)+5\left(x+1\right)=-15\)
\(\Rightarrow4x-8+5x+5=-15\)
\(\Rightarrow\left(4+5\right)x+\left(-8+5\right)=-15\)
\(\Rightarrow9x-3=-15\)
\(\Rightarrow9x=-15+3\)
\(\Rightarrow x=\dfrac{-12}{9}\)
\(\Rightarrow x=-\dfrac{4}{3}\)
c) \(\dfrac{3}{2}:x+\left(-\dfrac{5}{2}\right)=-\dfrac{7}{3}\)
\(\Rightarrow\dfrac{3}{2}:x=-\dfrac{7}{3}+\dfrac{5}{2}\)
\(\Rightarrow\dfrac{3}{2}x=\dfrac{1}{6}\)
\(\Rightarrow x=\dfrac{1}{6}:\dfrac{3}{2}\)
\(\Rightarrow x=\dfrac{1}{9}\)
a, \(\frac{-5}{12}+\frac{4}{37}+\frac{17}{12}-\frac{41}{37}\)
\(=\left(-\frac{5}{12}+\frac{17}{12}\right)+\left[\frac{4}{37}+\left(-\frac{41}{37}\right)\right]\)
\(=1+\left(-1\right)\)
\(=-1\)
b, \(\frac{1}{2}+\left(-\frac{3}{5}\right):\left(-1\frac{1}{2}\right)-\left|-\frac{2}{5}\right|\)
\(=\frac{1}{2}+\left(-\frac{3}{5}\right):\left(-\frac{3}{2}\right)-\frac{2}{5}\)
\(=\frac{1}{2}+\frac{2}{5}-\frac{2}{5}\)
\(=\frac{1}{2}\)
Mấy bài còn lại tương tự bn tự làm nha tính số mũ ra xong thực hiện, lấy thừa số chung mà nhân ( H mik bận đi hc thêm rồi)
Bài 1:
a) Ta có: \(\dfrac{17}{6}-x\left(x-\dfrac{7}{6}\right)=\dfrac{7}{4}\)
\(\Leftrightarrow\dfrac{17}{6}-x^2+\dfrac{7}{6}x-\dfrac{7}{4}=0\)
\(\Leftrightarrow-x^2+\dfrac{7}{6}x+\dfrac{13}{12}=0\)
\(\Leftrightarrow-12x^2+14x+13=0\)
\(\Delta=14^2-4\cdot\left(-12\right)\cdot13=196+624=820\)
Vì Δ>0 nên phương trình có hai nghiệm phân biệt là:
\(\left\{{}\begin{matrix}x_1=\dfrac{14-2\sqrt{205}}{-24}=\dfrac{-7+\sqrt{205}}{12}\\x_2=\dfrac{14+2\sqrt{2015}}{-24}=\dfrac{-7-\sqrt{205}}{12}\end{matrix}\right.\)
b) Ta có: \(\dfrac{3}{35}-\left(\dfrac{3}{5}-x\right)=\dfrac{2}{7}\)
\(\Leftrightarrow\dfrac{3}{5}-x=\dfrac{3}{35}-\dfrac{10}{35}=\dfrac{-7}{35}=\dfrac{-1}{5}\)
hay \(x=\dfrac{3}{5}-\dfrac{-1}{5}=\dfrac{3}{5}+\dfrac{1}{5}=\dfrac{4}{5}\)
a) \(\left(x-3\right)^2=1\)
\(\Leftrightarrow x-3=1\)
\(\Leftrightarrow x=4\)
b) \(\left(x-\frac{1}{7}\right)^2=0\)
\(\Leftrightarrow x-\frac{1}{7}=0\)
\(\Leftrightarrow x=\frac{1}{7}\)
c) \(\left(2x+3\right)^3=-27=\left(-3\right)^3\)
\(\Leftrightarrow2x+3=-3\)
\(\Leftrightarrow2x=-6\)
\(\Leftrightarrow x=-3\)
d) \(\left(2+\frac{1}{2}\right)^2=\frac{1}{4}.x\)
\(\Leftrightarrow\frac{25}{4}=\frac{1}{4}.x\)
\(\Leftrightarrow x=\frac{25}{4}:\frac{1}{4}\)
\(\Leftrightarrow x=25\)
e) \(-\left(5+35.x\right)^2=36=6^2\)
\(\Leftrightarrow-\left(5+35.x\right)=6\)
\(\Leftrightarrow5+35.x=-6\)
\(\Leftrightarrow35.x=-6-5=-11\)
\(\Leftrightarrow x=-\frac{11}{35}\)
Đúng không ta ???
Không có gì đâu bạn, nhưng bạn xem lại đề câu e) nhé !
Mình nghĩ là không có dấu trừ đằng trước đâu. Còn cách làm của mình vẫn đúng rồi. Lê Chi Mai
a)45*32+210*30=210*9+210*30=210*(9+30)=210*39
b) 37-x/3=x-13/7
37+13/7=x+x/3
272/7=4x/3
x=272/7:4/3
x=204/7
là (37!) ở toán vui mỗi tuần phải k