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\(2\times\left(x-\frac{1}{7}\right)=0\)
\(x-\frac{1}{7}=0:2=0\)
\(x=0+\frac{1}{7}\)
\(x=\frac{1}{7}\)
vậy \(x=\frac{1}{7}\)
\(\frac{x}{-4}=\frac{-3}{5}\)
\(\Leftrightarrow5x=-3.\left(-4\right)=12\)
\(x=\frac{12}{5}\)
vậy \(x=\frac{12}{5}\)
\(\frac{2,1}{0,7}=\frac{x}{3}\)
\(\Leftrightarrow2,1.3=0,7x\)
\(6,3=0,7x\)
\(x=6,3:0,7\)
\(x=9\)
vậy \(x=9\)
a) 2x(x - 1/7) = 0 b) x/-4 = -3/5 c) 2,1/0,7 = x/3
TH1: 2x = 0 => x = 0 x = -3/5 x 4 2,1 . 3 = 0,7 . x
TH2: x -1/7 = 0 => x = 0 + 1/7 => x = 1/7 x = -12/5 6,3 = 0,7 . x
x = 6,3 : 0, 7
x = 9
a) \(\frac{x}{-4}=\frac{-3}{5}\)
\(\Rightarrow5x=\left(-3\right).\left(-4\right)\)
\(\Rightarrow5x=12\)
\(\Rightarrow x=\frac{12}{5}\)
những câu khác làm tương tự. Chỉ cần tích chéo là được
\(1\frac{1}{3}:0,8=\frac{2}{3}:x\)
\(\frac{4}{3}:\frac{4}{5}=\frac{2}{3}:x\)
\(\frac{2}{3}:x=\frac{4}{3}.\frac{5}{4}\)
\(\frac{2}{3}:x=\frac{5}{3}\)
\(x=\frac{2}{3}:\frac{5}{3}\)
\(x=\frac{2}{3}.\frac{3}{5}\)
\(x=\frac{2}{5}\)
vậy \(x=\frac{2}{5}\)
1) \(5-\left(1+\dfrac{1}{3}\right):\left(1-\dfrac{1}{3}\right)\)
\(=5-\dfrac{4}{3}:\dfrac{2}{3}\)
\(=5-\dfrac{4}{3}\cdot\dfrac{3}{2}\)
\(=5-\dfrac{4}{2}\)
\(=5-2\)
\(=3\)
b) \(\left(1+\dfrac{2}{3}-\dfrac{5}{4}\right)-\left(1-\dfrac{5}{4}\right)+2022-\dfrac{2}{3}\)
\(=1+\dfrac{2}{3}-\dfrac{5}{4}-1+\dfrac{5}{4}++2022-\dfrac{2}{3}\)
\(=\left(1-1\right)+\left(\dfrac{2}{3}-\dfrac{2}{3}\right)+\left(-\dfrac{5}{4}+\dfrac{5}{4}\right)+2022\)
\(=0+0+0+2022\)
\(=2022\)
2) \(0,7^2\cdot x=0,49^2\)
\(\Rightarrow x=\dfrac{0,49^2}{0,7^2}\)
\(\Rightarrow x=\left(\dfrac{0,49}{0,7}\right)^2\)
\(\Rightarrow x=\left(0,7\right)^2\)
\(\Rightarrow x=0,49\)
b) \(x:\left(-0,5\right)^3=\left(0,5\right)^2\)
\(\Rightarrow x=\left(0,5\right)^2\cdot\left(-0,5\right)^3\)
\(\Rightarrow x=\left(-0,5\right)^5\)
\(\Rightarrow x=-\dfrac{1}{32}\)
2:
a: =>x*0,49=0,49^2
=>x=0,49
b: =>x=(0,5)^2*(-1)*(0,5)^3=-(0,5)^5
\(\frac{0,5}{0,7}\)=\(\frac{-0.1}{5.x}\)
→(0,5).5.x=-0,07
2,5.x=0,07
x=0,028
\(\frac{1,2}{x+3}\)=\(\frac{5}{4}\)
→5x+15=4,8
5x=-10,2
x=-2.04
Bài 1:
a) Đề ko rõ, coi lại
b) \(75^{20}=45^{10}.5^{30}\)
\(\Leftrightarrow\left(75^2\right)^{10}=45^{10}.\left(5^3\right)^{10}\)
\(\Leftrightarrow5625^{10}=45^{10}.125^{10}\)
\(\Leftrightarrow5625^{10}=\left(45.125\right)^{10}\)
\(\Leftrightarrow5625^{10}=5625^{10}\)
\(\Rightarrow75^{20}=45^{10}.5^{30}\left(đpcm\right)\)
Bài 2:
a) \(\frac{x}{-4}=\frac{-3}{5}\)
\(\Rightarrow x.5=-4.\left(-3\right)\)
\(\Rightarrow x.5=12\)
\(\Rightarrow x=\frac{12}{5}=2,4\)
b) c) d) Làm tương tự câu a. Bn tự lm cho nhớ
e) \(30.5x=4.12\)
\(\Rightarrow150x=48\)
\(\Rightarrow x=\frac{48}{150}=0,32\)
f) g) Làm tương tự câu e. Bn tự lm cho nhớ
a)
\(\left(\frac{x-1}{4}\right)^2=\frac{4}{9}\)
⇒ \(\frac{x-1}{4}=\frac{2}{3}\)
\(\Rightarrow\frac{\left(x-1\right).3}{12}=\frac{8}{12}\)
=> (x - 1) = 8/3
=> x = 8/3 - 1
=> x = 5/3
a, \(\left(x-\frac{1}{4}\right)^2=\frac{4}{9}=>\left(x-\frac{1}{4}\right)=\sqrt{\frac{4}{9}}=\frac{2}{3}\)
=> \(x=\frac{1}{4}+\frac{2}{3}=\frac{11}{12}\)
b, \(\left(x+0,7\right)^3=-8=>\left(x+0,7\right)^3-2^3\)
=> \(x+0,7=-2=>x=-2-0,7=-2,7\)
c \(2^x+2^{x+3}=144=>2^x+2^x.8=144\)
=>\(2^x.\left(8+1\right)=144=>2^x.9=144=>2^x=16\)
=> \(2^x=2^4=>x=4\)
d, \(5-2:\left|x-2\right|=1=>2:\left|x-1\right|=4\)
=> \(\left|x-2\right|=\frac{2}{4}=\frac{1}{2}\)
vậy \(x-2=\frac{1}{2}hoacx-2=-\frac{1}{2}\)
x = \(\frac{2}{5}\) x = \(\frac{3}{2}\)
a )
\(\left(x-\frac{1}{4}\right)^2=\frac{4}{9}\)
\(\left(x-\frac{1}{4}\right)^2=\left(\pm\frac{2}{3}\right)^2\)
\(\Rightarrow x-\frac{1}{4}=\frac{2}{3}\) hoặc \(x-\frac{1}{4}=-\frac{2}{3}\)
\(x=\frac{2}{3}+\frac{1}{4}\) hoặc \(x=-\frac{2}{3}+\frac{1}{4}\)
\(x=\frac{8}{12}+\frac{3}{12}\) hoặc \(x=-\frac{8}{12}+\frac{3}{12}\)
\(x=\frac{11}{12}\) hoặc \(x=-\frac{5}{12}\)
b)
\(\left(x+0,7\right)^3=-8\)
\(\left(x+0,7\right)^3=\left(-2\right)^3\)
\(\Rightarrow x+0,7=-2\)
\(x=-2-0,7\)
\(x=-2,7\)
c)
\(2^x+2^{x+3}=144\)
\(2^x\cdot1+2^x\cdot2^3=144\)
\(2^x\cdot\left(1+2^3\right)=144\)
\(2^x\cdot\left(1+8\right)=144\)
\(2^x\cdot9=144\)
\(2^x=144:9\)
\(2^x=16\)
\(2^x=2^4\) \(\Rightarrow x=4\)
d)
\(5-2:\left|x-2\right|=2\)
\(5-\left|x-2\right|=2\cdot2\)
\(5-\left|x-2\right|=4\)
\(\left|x-2\right|=5-4\)
\(\left|x-2\right|=1\)
\(\left|x-2\right|=\pm1\)
\(x-2=1\) hoặc \(x-2=-1\)
\(x=1+2\) hoặc \(x=-1+2\)
\(x=3\) hoặc \(x=1\)
a) \(\dfrac{x}{4}=\dfrac{-3}{5}\)
\(\Rightarrow x=\dfrac{4\cdot-3}{5}\)
\(\Rightarrow x=-\dfrac{12}{5}\)
b) \(\dfrac{2,1}{0,7}=\dfrac{x}{3}\)
\(\Rightarrow x=\dfrac{2,1\cdot3}{0,7}\)
\(\Rightarrow x=9\)
Lời giải:
a. $x=\frac{-3}{5}.4=\frac{-12}{5}$
b. $x=\frac{2,1}{0,7}.3=3.3=9$