75-5(x-3)3=700
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a, 7\(x\) - \(x\) = 521 : 519 + 3.22.7
6\(x\) = 53 + 3.4.7
6\(x\) = 125 + 12.7
6\(x\) = 125 + 84
6\(x\) = 209
\(x\) = 209 : 6
\(x\) = \(\dfrac{209}{6}\)
b; 11\(x\) - 7\(x\) + 34 : 33 = 54 + 2\(x\)
4\(x\) + 3 = 625 + 2\(x\)
4\(x\) - 2\(x\) = 625 - 3
2\(x\) = 622
\(x\) = 622 : 2
\(x\) = 311
c; 75 - 5.(\(x-3\))3 = 700
5.(\(x\) - 3)3 = 700 - 75
5.(\(x\) - 3)3 = - 625
(\(x\) - 30)3 = - 625 : 5
(\(x\) - 30)3 = - 125
(\(x-3\))3 = (-5)3
\(x\) - 3 = - 5
\(x\) = - 5 + 3
\(x\) = -2
d, 3.(2\(x\) - 1)2 = 75
(2\(x\) - 1)2 = 75 : 3
(2\(x\) - 1)2 = 25
\(\left[{}\begin{matrix}2x-1=-5\\2x-1=5\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-5+1\\2x=5+1\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-4\\2x=6\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-2\\x=3\end{matrix}\right.\)
a) 47 000 + 8 000 + 3 000 = (47 000 + 3 000) + 8 000
= 50 000 + 8 000
= 58 000
250 000 – 5 x 10 000 = 250 000 – 50 000
= 200 000
20 x 3 x 5 x 7 = (3 x 7) x (20 x 5)
= 21 x 100
= 2 100
b) (3 075 – 75) : 3 = 3 000 : 3
= 1 000
8 x (700 + 300) = 8 x 1 000
= 8 000
92 x 753 – 82 x 753 = 753 x (92 – 82)
= 753 x 10
= 7 530
a/
\(\frac{72}{\left(x-2\right)^2}=8\left(x\ne2\right)\Rightarrow\left(x-2\right)^2=9=3^2\)
\(\Rightarrow\left|x-2\right|=3\)
+ Nếu \(x-2\ge0\Rightarrow x\ge2\Rightarrow x-2=3\Rightarrow x=5\) (thoả mãn đk \(x\ge2\) )
+ Nếu \(x-2< 0\Rightarrow x< 2\Rightarrow2-x=3\Rightarrow x=-1\) (Thoả mãn đk \(x< 2\) )
b/
\(75-5\left(x-3\right)^3=700\Rightarrow\left(x-3\right)^3=-125=\left(-5\right)^3\)
\(\Rightarrow x-3=-5\Rightarrow x=-2\)
a) \(\frac{1}{2}x+\frac{3}{5}\left(x-2\right)=3\)
0,5 x + 0,6 ( x - 2 ) = 3
0,5 x + 0.6 x - 1,2 = 3
1,1 x = 4,2
x = \(\frac{42}{11}\)
Kết luận:
b) \(\frac{1}{3}x-0,5x=0,75\)
\(\frac{1}{3}x-\frac{1}{2}x=\frac{3}{4}\)
\(-\frac{1}{6}x=\frac{3}{4}\)
\(x=-\frac{9}{2}\)
Kết luận:
c) \(\frac{3}{-2}x-0,5x=75\%\)
-1,5x - 0,5x = 0,75
-2x = 0,75
x = -0,375
Kết luận:
d) \(-\frac{2}{5}x+\frac{1}{4}=75\%-\frac{3}{4}x\)
-0,4 x + 0,25 = 0,75 - 0,75 x
-0,4 x + 0,75 x = 0,75 - 0,25
0,35 x = 0,5
x = \(\frac{10}{7}\)
Kết luận:
\(a,\frac{1}{2}x+\frac{3}{5}\left(x-2\right)=3\)
\(\frac{1}{2}x+\frac{3}{5}x-\frac{6}{5}=3\)
\(\left(\frac{1}{2}+\frac{3}{5}\right)x-\frac{6}{5}=3\)
\(\frac{11}{10}x-\frac{6}{5}=3\)
\(\frac{11}{10}x=\frac{21}{5}\)
\(x=\frac{42}{11}\)
\(b,\frac{1}{3}x-\frac{1}{2}x=\frac{3}{4}\)
\(\left(\frac{1}{3}-\frac{1}{2}\right)x=\frac{3}{4}\)
\(\frac{-1}{6}x=\frac{3}{4}\)
\(x=\frac{-9}{2}\)
\(c,\frac{3}{-2}x-\frac{1}{2}x=75\%\)
\(\left(\frac{3}{-2}-\frac{1}{2}\right)x=\frac{3}{4}\)
\(-2x=\frac{3}{4}\)
\(x=\frac{-3}{8}\)
\(\frac{-2}{5}x+\frac{1}{4}=75\%-\frac{3}{4}x\)
\(\frac{-2}{5}x+\frac{3}{4}x=\frac{3}{4}-\frac{1}{4}\)
\(\left(\frac{-2}{5}+\frac{3}{4}\right)x=\frac{1}{2}\)
\(\frac{7}{20}x=\frac{1}{2}\)
\(x=\frac{10}{7}\)
\(x+x\cdot3+15=75\)
\(x\cdot\left(1+3\right)=60\)
\(x\cdot4=60\)
\(x=15\)
Dấu " . " là dấu nhân
Học tốt nhé :))
\(x+3x+5.3=75\)
<=> \(4x+15=75\)
<=> \(4x=60\)
<=> \(x=15\)
học tốt
a) x - 1845 = 115 x 2 - 25 x 3
x - 1845 = 230 - 75
x - 1845 = 155
x = 155 + 1845
\(b,230+35x4=x+\frac{700}{5}+30\)
230 + 140 = x + 140 + 30
370 = x + 170
x = 370 - 170
x = 200
a) x - 1845 = 115 x 2 - 25 x 3
x - 1845 = 230 - 75
x - 1845 = 155
x = 155 + 1845
x = 2000
Vậy x = 2000
b) 230 + 35 x 4 = x + 700 / 5+30
370 = x + 140 + 30
370 = x + 170
x = 370 - 170
x = 200
Vậy x = 200
a) Ta có: \(3\left(x+5\right)-3=2\left(x+1\right)+7\)
\(\Leftrightarrow3x+15-3=2x+2+7\)
\(\Leftrightarrow3x+12=2x+9\)
hay x=-3
b) Ta có: \(15-\left(x+2\right)^2=-1\)
\(\Leftrightarrow\left(x+2\right)^2=16\)
\(\Leftrightarrow\left[{}\begin{matrix}x+2=4\\x+2=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-6\end{matrix}\right.\)
c) Ta có: \(75-\left(2x+1\right)^3=11\)
\(\Leftrightarrow\left(2x+1\right)^3=64\)
\(\Leftrightarrow2x+1=4\)
hay \(x=\dfrac{3}{2}\)
a) Ta có: 3(x+5)−3=2(x+1)+73(x+5)−3=2(x+1)+7
⇔3x+15−3=2x+2+7⇔3x+15−3=2x+2+7
⇔3x+12=2x+9⇔3x+12=2x+9
hay x=-3
b) Ta có: 15−(x+2)2=−115−(x+2)2=−1
⇔(x+2)2=16⇔(x+2)2=16
⇔[x+2=4x+2=−4⇔[x=2x=−6⇔[x+2=4x+2=−4⇔[x=2x=−6
c) Ta có: 75−(2x+1)3
75 - 5.(\(x-3\))3 = 700
5.(\(x-3\))3 = 75 - 700
5.(\(x-3\))3 = - 625
(x - 3)3 = -625 : 5
(\(x-3\))3 = - 125
(\(x-3\))3 = (-5)3
\(x-3=-5\)
\(x=-5+3\)
\(x=-2\)
Vậy \(x=-2\)