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a) x = \(\frac{-4}{27}:\frac{2}{3}\)
x = \(\frac{-2}{9}\)
b) x = \(\frac{-13}{5}:\frac{11}{15}\)
x = \(\frac{-39}{11}\)
c) \(\frac{1}{2}:x=-4-\frac{1}{3}\)
\(\frac{1}{2}:x=\frac{-13}{3}\)
x = \(\frac{1}{2}:\frac{-13}{3}\)
x = \(\frac{-3}{26}\)
d) \(\frac{1}{4}:x=\frac{2}{5}-\frac{3}{4}\)
\(\frac{1}{4}:x=\frac{-7}{20}\)
\(x=\frac{1}{4}:\frac{-7}{20}\)
x = \(\frac{-5}{7}\)
tk mik nha b
a/ x/-27 = -3/x
=> x^2 = -27 . -3
=> x^2 = 81
=> x^2 = 9^2 = (-9)^2
=> x = 9 hoặc x = -9
(-3/4)63x-1=(3/4)^3
3x-1=3+1
3x=3=1
x=4;3
x=4/3
Vậy x=4/3
b/ Ta có \(G\left(x\right)=3x\left(x-1\right)-x+1\)
=> \(G\left(x\right)=3x\left(x-1\right)-\left(x-1\right)\)
=> \(G\left(x\right)=\left(x-1\right)\left(3x-1\right)\)
Khi G (x) = 0
=> \(\left(x-1\right)\left(3x-1\right)=0\)
=> \(\orbr{\begin{cases}x-1=0\\3x-1=0\end{cases}}\)=> \(\orbr{\begin{cases}x=1\\3x=1\end{cases}}\)=> \(\orbr{\begin{cases}x=1\\x=\frac{1}{3}\end{cases}}\)
Vậy G (x) có 2 nghiệm là \(\hept{\begin{cases}x=1\\x=\frac{1}{3}\end{cases}}\).
c/ Ta có \(H\left(x\right)=x^2-4x+3\)
=> \(H\left(x\right)=x^2-x-3x+3\)
=> \(H\left(x\right)=\left(x^2-x\right)-\left(3x-3\right)\)
=> \(H\left(x\right)=x\left(x-1\right)-3\left(x-1\right)\)
=> \(H\left(x\right)=\left(x-1\right)\left(x-3\right)\)
Khi H (x) = 0
=> \(\left(x-1\right)\left(x-3\right)=0\)
=> \(\orbr{\begin{cases}x-1=0\\x-3=0\end{cases}}\)=> \(\orbr{\begin{cases}x=1\\x=3\end{cases}}\)
Vậy H (x) có 2 nghiệm: \(\hept{\begin{cases}x=1\\x=3\end{cases}}\)
a) \(\Leftrightarrow x^2=81\Leftrightarrow x=+-9\)
b) \(-x^2=-4\Leftrightarrow x=+-2\)
c) \(\frac{3x}{2,7}=\frac{1}{3}:2\frac{1}{4}\Leftrightarrow\frac{3x}{2,7}=\frac{4}{27}\Leftrightarrow3x=\frac{2}{5}\Leftrightarrow x=\frac{2}{15}\)
A) \(\left(x-2\right)^2=\dfrac{1}{16}\\ Mà:\left(\dfrac{1}{4}\right)^2=\dfrac{1}{16}hoặc\left(-\dfrac{1}{4}\right)^2=16\\ =>\left(x-2\right)^2=\left(\dfrac{1}{4}\right)^2hoặc\left(x-2\right)^2=\left(-\dfrac{1}{4}\right)^2\\ =>x-2=\dfrac{1}{4}hoặc\left(x-2\right)=-\dfrac{1}{4}\\ =>\left[{}\begin{matrix}x=\dfrac{1}{4}+2\\x=-\dfrac{1}{4}+2\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=\dfrac{9}{4}\\x=\dfrac{7}{4}\end{matrix}\right.\)
a) \(x:\left(\frac{-1}{3}\right)=\frac{-1}{3}\)
\(x.-3=\frac{-1}{3}\)
\(x=\frac{-1}{3}.\frac{-1}{3}\)
\(x=\frac{1}{9}\)
c) \(\left(x+\frac{1}{2}\right)=\frac{1}{16}\)
\(x=\frac{1}{16}-\frac{1}{2}\)
\(x=\frac{1}{16}-\frac{8}{16}\)
\(x=\frac{-7}{16}\)
d) \(\left(3x+1\right)^3=-27\)
\(\left(3x+1\right)^3=-3^3\)
\(\left(3x+1\right)=-3\)
\(3x=-3-1\)
\(3x=-4\)
\(x=\frac{-4}{3}\)
2/3x = -4/27
=> 2 . 27 = 3x . (-4)
=> 54 = 3x . -4
=> 3x = -27/2
=> x = -9/2
1/3 + 1/2 : x = -4
=> 1/2 : x = -13/3
=> x = -3/26
a, \(\frac{2}{3}x=-\frac{4}{27}\)
\(x=-\frac{4}{27}:\frac{2}{3}=-\frac{4}{27}.\frac{2}{3}=-\frac{8}{81}\)
Bài này lớp 7 hả trời @@