a)(3^2)^2-(-2^3)^2-(5^2)^2
b)2^3+3.(1/2)^0-(1/2)^2.4+[(-2)^2:1/2]:8
các bn giúp mik vs mik cần gấp
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a; \(\dfrac{2}{3}\)\(x\) - \(\dfrac{3}{2}\)\(x\) = \(\dfrac{5}{12}\)
(\(\dfrac{2}{3}\) - \(\dfrac{3}{2}\))\(x\) = \(\dfrac{5}{12}\)
- \(\dfrac{5}{6}\)\(x\) = \(\dfrac{5}{12}\)
\(x\) = \(\dfrac{5}{12}\) : (- \(\dfrac{5}{6}\))
\(x=\) - \(\dfrac{1}{2}\)
Vậy \(x=-\dfrac{1}{2}\)
b; \(\dfrac{2}{5}\) + \(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\)
\(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\) - \(\dfrac{2}{5}\)
\(\dfrac{3}{5}\).(3\(x\) - 3,7) = - \(\dfrac{57}{10}\)
3\(x\) - 3,7 = - \(\dfrac{57}{10}\) : \(\dfrac{3}{5}\)
3\(x\) - 3,7 = - \(\dfrac{19}{2}\)
3\(x\) = - \(\dfrac{19}{2}\) + 3,7
3\(x\) = - \(\dfrac{29}{5}\)
\(x\) = - \(\dfrac{29}{5}\) : 3
\(x\) = - \(\dfrac{29}{15}\)
Vậy \(x\) \(\in\) - \(\dfrac{29}{15}\)
\(a,-2\left(x+7\right)+3\left(x-2\right)=-2\)
\(-2x-14+3x-6=-2\)
\(-2x+3x=-2+14+6\)
\(x=18\)
\(b,\left(x+3\right)^3:3-1=-10\)
\(\left(x+3\right)^3:3=-9\)
\(\left(x+3\right)^3=-27\)
\(\left(x+3\right)^3=\left(-9\right)^3\)
\(\Rightarrow x+3=9\)
\(\Rightarrow x=6\)
\(c,\left(x+1\right)^2\left(x^2+1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+1=0\\x^2+1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-1\\x^2=1\end{cases}\Rightarrow}\orbr{\begin{cases}x=-1\\x=1or-1\end{cases}}}\)
ko bt câu c này kl thế nào lun
a, 1,5 +|2x - 2/3| = 3/2
|2x - 2/3| = 3/2 - 1,5
|2x - 2/3| = 0
<=> 2x - 2/3 = 0
<=> 2x = 0 + 2/3
<=> 2x = 2/3
<=> x = 2/3 : 2
<=> x = 1/3
Vậy x = 1/3
b, 3/4 - |1/4 - x| = 5/8
|1/4 - x| = 3/4 - 5/8
|1/4 - x| = 1/8
<=> 1/4 - x = 1/8
1/4 - x = /1/8
<=> x = 1/4 - 1/8
x = 1/4 - ( -1/8)
<=> x = 1/8
x = 3/8
Vậy x thuộc { 1/8 ; 3/8 }
ta có: \(S=1+1\times2+2\times3+3\times4+...+38\times39+39\times40+40\)
\(\Rightarrow3S=1\times3+1\times2\times3+2\times3\times3+...+39\times40\times3+40\times3\)
\(3S=3+1\times2\times\left(3-0\right)+2\times3\times\left(4-1\right)+...+39\times40\times\left(41-38\right)+120\)
\(3S=3+1\times2\times3+2\times3\times4-1\times2\times3+...+39\times40\times41-38\times39\times40+120\)
\(3S=\left(3+1.2.3+...+39.40.41+120\right)-\left(1.2.3+...+38.38.40\right)\)
\(3S=3+39.40.41+120\)
\(\Rightarrow S=\left(3+39.40.41+120\right):3\)
\(S=21361\)
a.-608
b.11