4/3 + ( x + 3) x 2 - 1/2 = 27/2
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\(a,\dfrac{1}{2}x=3+2\)
\(\dfrac{1}{2}x=5\)
\(x=5\div\dfrac{1}{2}\)
\(x=10\)
\(b,\dfrac{1}{4}x^2-\sqrt{36}=10\)
\(\dfrac{1}{4}x^2-6=10\)
\(\dfrac{1}{4}x^2=10+6\)
\(\dfrac{1}{4}x^2=16\)
\(x^2=16\div\dfrac{1}{4}\)
\(x^2=64\)
\(x^2=\left(8\right)^2\)
\(\Rightarrow x=8\)
\(x:\dfrac{3}{5}=\dfrac{1}{2}\)
\(x=\dfrac{1}{2}.\dfrac{3}{5}\)
\(x=\dfrac{3}{10}\)
\(x:\dfrac{3}{5}=\dfrac{1}{2}\)
\(x=\dfrac{1}{2}x\dfrac{3}{5}\)
\(x=\dfrac{3}{10}\)
a/
\(\left(x-1\right)^2-\left(x+1\right)^2=2x-6\\ x^2-2x+1-\left(x^2+2x+1\right)=2x-6\\ \)
\(\Leftrightarrow x^2-2x+1-x^2-2x-1-2x+6=0\)
\(\Leftrightarrow6-6x=0\)
=> x=1
\(\left(2x+x^2\right)\left(x^2-3x+2\right)=0\Leftrightarrow x\left(x+2\right)\left(x-1\right)\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=-2\\x=1\\x=2\end{matrix}\right.\\ A=\left\{-2;0;1;2\right\}\)
\(3\le x^3\le27\Leftrightarrow x\in\left\{2;3\right\}\\ B=\left\{2;3\right\}\)
\(\Leftrightarrow A\cup B=\left\{-2;0;1;2;3\right\}\)
\(\frac{2}{3}\left(x-1\right)-x-\frac{3}{4}=1\)
<=> \(\frac{2}{3}x-\frac{2}{3}-x-\frac{3}{4}=1\)
<=> \(-\frac{1}{3}x-\frac{17}{12}=1\)
<=> \(-\frac{1}{3}x=\frac{29}{12}\)
<=> \(x=-\frac{29}{4}\)
\(\frac{5}{6}\left(x+2\right)-x-\frac{1}{2}=\frac{1}{3}\)
<=> \(\frac{5}{6}x+\frac{5}{3}-x-\frac{1}{2}=\frac{1}{3}\)
<=> \(-\frac{1}{6}x+\frac{7}{6}=\frac{1}{3}\)
<=> \(-\frac{1}{6}x=-\frac{5}{6}\)
<=> \(x=5\)
học tốt
`4/3 + ( x + 3) xx 2 - 1/2 = 27/2`
`=> ( x + 3) xx 2 - 1/2 = 27/2-4/3`
`=> ( x + 3) xx 2 - 1/2 =73/6`
`=> ( x + 3) xx 2 =73/6 +1/2`
`=> ( x + 3) xx 2 =38/3`
`=>x+3=38/3 xx 1/2`
`=>x+3=19/3`
`=>x=19/3-3`
`=>x= 10/3`