3/4 + X/4 = 1/8
Giúp mk với!
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Y
23 tháng 6 2023
\(1,\left(3x+2\right)\left(5-x^2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x+2=0\\5-x^2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{2}{3}\\-x^2=-5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{2}{3}\\x=\pm\sqrt{5}\end{matrix}\right.\)
Vậy \(S=\left\{-\dfrac{2}{3};-\sqrt{5};\sqrt{5}\right\}\)
\(2,-2x-\dfrac{2}{3}\left(\dfrac{3}{4}-\dfrac{1}{8}x\right)=\left(-\dfrac{1}{2}\right)^3\)
\(\Leftrightarrow-2x-\dfrac{1}{2}+\dfrac{1}{12}x=-\dfrac{1}{8}\)
\(\Leftrightarrow-2x+\dfrac{1}{12}x=-\dfrac{1}{8}+\dfrac{1}{2}\)
\(\Leftrightarrow-\dfrac{23}{12}=\dfrac{3}{8}\)
\(\Leftrightarrow x=-\dfrac{9}{46}\)
Vậy \(S=\left\{-\dfrac{9}{46}\right\}\)
\(3,\dfrac{1}{12}:\dfrac{4}{21}=3\dfrac{1}{2}:\left(3x-2\right)\)
\(\Leftrightarrow\dfrac{1}{12}.\dfrac{21}{4}=\dfrac{7}{2}.\dfrac{1}{3x-2}\)
\(\Leftrightarrow\dfrac{7}{16}=\dfrac{7}{6x-4}\)
\(\Leftrightarrow6x-4=7:\dfrac{7}{16}\)
\(\Leftrightarrow6x-4=16\)
\(\Leftrightarrow x=\dfrac{10}{3}\)
Vậy \(S=\left\{\dfrac{10}{3}\right\}\)
\(4,\dfrac{x-1}{x+2}=\dfrac{4}{5}\left(dk:x\ne-2\right)\)
\(\Rightarrow5\left(x-1\right)=4\left(x+2\right)\)
\(\Rightarrow5x-5=4x+8\)
\(\Rightarrow x=13\left(tmdk\right)\)
Vậy \(S=\left\{13\right\}\)
29 tháng 10 2021
a: \(x\cdot\dfrac{3}{4}+x=\dfrac{7}{8}\)
\(\Leftrightarrow x\cdot\dfrac{7}{4}=\dfrac{7}{8}\)
\(\Leftrightarrow x=\dfrac{1}{2}\)
HM
1
PH
1
22 tháng 6 2021
đk: x khác 2;4
\(\dfrac{2}{\left(x-4\right)\left(2-x\right)}-\dfrac{x-1}{x-2}-\dfrac{x+3}{x-4}=0\)
<=> \(\dfrac{-2-\left(x-1\right)\left(x-4\right)-\left(x+3\right)\left(x-2\right)}{\left(x-4\right)\left(x-2\right)}=0\)
<=> \(-2-x^2+5x-4-x^2-x+6=0\)
<=> -2x2 +4x = 0
<=> 2x(x-2) = 0
Mà x khác 2
<=> 2x = 0
<=> x = 0
26 tháng 9 2021
a: \(2^6\cdot3^3=\left(2^2\cdot3\right)^3=12^3\)
b: \(6^4\cdot8^3=2^4\cdot3^4\cdot2^9=2^{13}\cdot3^4\)
c: \(16\cdot81=36^2\)
d: \(25^4\cdot2^8=100^4\)
NP
2
PH
4
TG
2 tháng 7 2021
\(\Leftrightarrow\dfrac{3x-1}{4}-\dfrac{3x-6}{8}-\dfrac{5-3x}{2}>1\)
\(\Leftrightarrow\dfrac{\left(3x-1\right).2-\left(3x-6\right)-\left(5-3x\right).4}{8}>1\)
\(\Leftrightarrow\dfrac{6x-2-3x+6-20+12x}{8}>1\)
<=> 15x - 16 > 8
<=> 15x > 24
<=> x > 8/5
2 tháng 7 2021
Ta có: \(\dfrac{3x-1}{4}-\dfrac{3\left(x-2\right)}{8}-1>\dfrac{5-3x}{2}\)
\(\Leftrightarrow2\left(3x-1\right)-3\left(x-2\right)-8>4\left(5-3x\right)\)
\(\Leftrightarrow6x-2-3x+6-8>20-12x\)
\(\Leftrightarrow3x-4-20+12x>0\)
\(\Leftrightarrow15x>24\)
hay \(x>\dfrac{8}{5}\)
PH
1
1 tháng 7 2021
\(\dfrac{3x-1}{4}-\dfrac{3\left(x-2\right)}{8}-1>\dfrac{5-3x}{2}\)
MTC : 8
\(\Rightarrow\dfrac{2\left(3x-1\right)}{8}-\dfrac{3\left(x-2\right)}{8}-\dfrac{8}{8}>\dfrac{4\left(5-3x\right)}{8}\)
Suy ra : 2(3x - 1) - 3(x - 2) - 8 > 4(5 - 3x)
\(\Leftrightarrow\) 6x - 2 - 3x + 6 - 8 > 20 - 12x
\(\Leftrightarrow\) 6x - 3x + 12x > 20 + 2 - 6 + 8
\(\Leftrightarrow\) 15x > 24
\(\Leftrightarrow\) x > \(\dfrac{24}{15}=\dfrac{8}{5}\)
Vay x >\(\dfrac{8}{5}\)
Chuc ban hoc tot
SG
19 tháng 2 2018
1/ (-25). ( -3). x với x = 4
= ( -25 ) . ( -3 ) . 4
= [ -25 . 4 ] . ( -3 )
= -100 . ( -3 )
= 300
2/ (-1). (-4) . 5 . 8 . y với y = 25
= ( -1 ) . ( -4 ) . 5 . 8 . 25
= [ -1 . 5 . 8 ] . [ -4 . 25 ]
= -40 . ( -100 )
= 4000
4/ [(-25).(-27).(-x)] : y với x = 4; y = -9
= [ -25 . ( -27 ) . ( -4 ) ] . ( -9 )
= -25 . ( -27 ) . ( -4 ) . ( -9 )
= [ -25 . ( -4 ) ] . [ -27 . ( -9 ) ]
= 100 . 243
= 2430
2 tháng 2 2021
1/(-25).(-3).4 x=4
=75.4
=300
2/(-1).(-4).5.8.y y=25
=(-1).(-4).5.8.25
=4.40.25
=(4.25).40
=100.40
4000
1/8 - 3/4 =
vì a/b = X/4 nên X = ?
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