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\(\frac{2x+2}{5x-3}=\frac{2x+12}{5x+18}=\frac{\left(2x+2\right)-\left(2x+12\right)}{\left(5x-3\right)-\left(5x+18\right)}=\frac{2x+2-2x-12}{5x-3-5x-18}=\frac{-10}{-21}=\frac{10}{21}\)=\(\frac{10}{21}\)
=>\(\frac{2x-2}{5x-3}=\frac{10}{21}\)
=>(2x-2).21=(5x-3).10
=>42x-42=50x-30
=>50x - 42x=-30+42
=> 8x=8
=>x=1
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Ta có:\(\frac{2x-3}{5x+6}=\frac{2}{15}\)
\(\Rightarrow15\left(2x-3\right)=2\left(5x+6\right)\)
\(\Rightarrow30x-45=10x+12\)
\(\Rightarrow3x-45-10x-12=0\)
\(\Rightarrow-7x-57=0\)
\(\Rightarrow x=-\frac{57}{7}\)
Có \(\frac{2x-3}{5x+6}\)= \(\frac{2}{15}\)
=> 15(2x-3) = 2(5x+6)
=> 30x - 45 = 10x + 12
=> 30x - 45 - 10x -12 = 0
=> 30x + (-45) + (-10x) + (-12) = 0
=> [ 30x + (-10x) ] + [ (-45) + (-12) ] = 0
=> 20x + (-57) = 0
=> 20x = -57
=> x= \(\frac{-57}{20}\)
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a) |x-2|=|2x-1|
=> x-2=2x-1 hoặc x-2=-2x-1
=> x-2x=1+2 hoặc x+2x=-1+2
=> x=-3 hoặc 1x=-1
mik chỉ bt làm câu này thôi xin lỗi nhé!!! Nhớ k cho mik nếu bạn cảm thấy đúng### cho mik kết bạn vs bạn nha???
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\(\frac{7.2^{32}.3^8.5^4-2^9.3^9.2^8.5^4}{2^{10}.3^{10}.2^5.5^5-7.3^9.4^8.5^4}=\frac{7.2^{32}.3^8.5^4-2^{17}.3^9.5^4}{2^{15}.3^{10}.5^5-7.3^9.2^{16}.5^4}\)
\(\frac{2^{17}.3^8.5^4\left(2^5.7-1\right)}{2^{15}.3^9.5^4\left(3.5-7.2\right)}=\frac{2^{17}.3^8.5^4\left(32.7-1\right)}{2^{15}.3^9.5^4\left(15-14\right)}\)
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\(B=\left|2x+7\right|-1\)
Ta có: \(\left|2x+7\right|\ge0\forall x\)
\(\Rightarrow\left|2x+7\right|-1\ge-1\)
\(B=-1\Leftrightarrow\left|2x+7\right|=0\Leftrightarrow x=-3,5\)
Vậy \(B_{min}=-1\Leftrightarrow x=-3,5\)
\(C=-\left|5x-3\right|-2\)
Ta có: \(\left|5x-3\right|\ge0\forall x\)
\(-\left|5x-3\right|\le0\forall x\)
\(\Rightarrow-\left|5x-3\right|-2\le-2\forall x\)
\(C=-2\Leftrightarrow\left|5x-3\right|=0\Leftrightarrow x=\frac{3}{5}\)
Vậy \(C_{max}=-2\Leftrightarrow x=\frac{3}{5}\)
Câu D tương tự câu C
Tham khảo nhé~
\(\left|2x-6\right|=9-5x\)
=> 9 - 5x >= 0 => x <= 9/5
\(\Rightarrow\orbr{\begin{cases}2x-6=9-5x\Rightarrow7x=15\Rightarrow x=\frac{15}{7}\left(koTM:x\le\frac{9}{5}\right)\\2x-6=5x-9\Rightarrow3x=3\Rightarrow x=1\left(TM\right)\end{cases}}\)
Vậy PT có nghiệm duy nhất x = 1.
|2x-6|+5x=9=>|2x-6|=9-5x
TH1
2x-6 > hoặc = 0<=>x>hoặc=3
2x-6|=9-5x=>x=17/5 ko thỏa mãn
TH2
2x-6 > 0 <=> x<3
2x-6|=9-5x=>x=1