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\(\left(\frac{-3}{2x}+\frac{1}{4}\right):\frac{1}{6}=\frac{-3}{2}\)
\(\Rightarrow\frac{-3}{2x}+\frac{1}{4}=\frac{-3}{2}.\frac{1}{6}=-\frac{1}{4}\)
\(\Rightarrow\frac{-3}{2x}=-\frac{1}{4}-\frac{1}{4}=-\frac{1}{2}\)
\(\Rightarrow\frac{-3}{2x}=\frac{-3}{6}\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
(-3/2x + 0,25) : 1/6 = -3/2
=> -3/2x + 0,25 = -3/2 . 1/6
=> -3/2x + 0,25 = -1/4
=> -3/2x = -1/4 - 0,25
=> -3,2x = -1/2
=> x = -1/2 : (-3/2)
=> x = 1/3
-3/2 - | 3x + 4 |.2/5= 2
<=> | 3x + 4 | = (2+3/2)/(2/5)
<=> | 3x + 4 | = 35/4
<=>3x + 4 =35/4
Hoặc 3x + 4 = - 35/4
Tự giải nốt nha
b1 \(\frac{a}{b}=\frac{b}{c}=\frac{c}{a}=\frac{a+b+c}{a+b+c}=1\)
\(\frac{a}{b}=1\Rightarrow a=b;\frac{b}{c}=1\Rightarrow b=c;\frac{c}{a}=1\Rightarrow c=a\)
\(\Rightarrow a=b=c\)
b2 \(\frac{a}{b+c}=\frac{b}{c+a}=\frac{c}{a+b}=\frac{a+b+c}{2a+2b+2c}=\frac{a+b+c}{2\left(a+b+c\right)}=\frac{1}{2}=k\)
=> \(k=\frac{1}{2}\)
\(\left(0,4x-1,3\right)^2=5,29\)
\(\left(0,4x-1,3\right)^2=\left(\pm2,3\right)^2\)
+) 0,4x - 1,3 = 2,3
0,4x = 3,6
x = 9
+) 0,4x - 1,3 = -2,3
0,4x = -1
x = -2,5
Vậy,........
(0,4x - 1,3)2 = 5,29
(0,4x - 1,3)2 = 2,32
=> \(\orbr{\begin{cases}0,4x-1,3=2,3\\0,4x-1,3=-2,3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}0,4x=3,6\\0,4x=-1\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=9\\x=-\frac{5}{2}\end{cases}}\)
( 5/4x - 2/3 )^4 = 57/16 + 3/2
=> ( 5/4x - 2/3 )^4 = 81/16
=> ( 5/4x - 2/3 )^4 = 3^4/2^4
=> 5/4x - 2/3 = 3/2
=> 5/3x = 13/6
=> x = 13/10
Vậy x = 13/10
\(\left(\frac{5}{4}x-\frac{2}{3}\right)^4-\frac{3}{2}=\frac{57}{16}\)
\(\left(\frac{5}{4}x-\frac{2}{3}\right)^4-\frac{3}{2}=\frac{57}{16}+\frac{3}{2}\)
\(\left(\frac{5}{4}x-\frac{2}{3}\right)=\frac{81}{16}\)
Ta xét 2th:
Th1: \(\frac{5}{4}x-\frac{2}{3}=\left(\frac{81}{16}\right)^{\frac{1}{4}}\)
\(\Rightarrow x=\frac{26}{15}\)
Th2: \(\frac{5}{4}x-\frac{2}{3}=-\left(\frac{81}{16}\right)^{\frac{1}{4}}\)
\(\Rightarrow x=-\frac{2}{3}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{26}{15}\\x=-\frac{2}{3}\end{cases}}\)
\(\left(-3x+0.2\right)^{16}=\left(5.4x-1.3\right)^{16}\Rightarrow-3x+0.2=5.4x-1.3\Rightarrow\)
\(\Rightarrow-3x-5.4x=-0.2-1.3\Rightarrow-8x=-1.5\Rightarrow x=\frac{-1.5}{-8}=\frac{3}{16}\)
Sorry mik sai ở chổ này \(\Rightarrow-8.4x=-1.5\Rightarrow x=\frac{-1.5}{-8.4}=\frac{5}{28}\)