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a) ta có : 4(x+5) = -3(-x+2)
=> 4x + 20 = 3x - 6
=>4x - 3x = - 6 - 20
=> x = -26
a)\(\Leftrightarrow\frac{x+5}{-3}=\frac{-x+5}{3}\)
\(\Leftrightarrow\frac{-x+2}{4}=\frac{-x-2}{4}\)
\(\Rightarrow\frac{-x+5}{3}=\frac{-x-2}{4}\)
\(\Leftrightarrow\frac{-x}{3}-\frac{5}{3}=\frac{1}{2}-\frac{x}{4}\)
\(\Rightarrow\frac{-x}{12}-\frac{13}{6}=0\)
\(\Leftrightarrow\frac{x+26}{12}=0\)
=>x+26=0
=>x=-26
phần b,c tự làm tiếp
\(\frac{a}{a+b}>\frac{a}{a+b+c}\)
\(\frac{b}{b+c}>\frac{b}{a+b+c}\)
\(\frac{c}{c+a}>\frac{c}{a+b+c}\)
\(\Rightarrow x>\frac{a+b+c}{a+b+c}=1\)
\(\Rightarrow x>1\)
\(\frac{a}{b+c}< \frac{a+c}{a+b+c}\)
\(\frac{b}{b+c}< \frac{b+a}{b+c+a}\)
\(\frac{c}{c+a}< \frac{c+b}{c+a+b}\)
\(\Rightarrow x< \frac{a\left(a+b+c\right)}{a+b+c}\)
\(\Rightarrow x< 2\)
\(\Rightarrow1< x< 2\) \(\Rightarrow\)ko tồn tại giá trị x nào
a, \(2.x^x=10.3^{12}+8.27^4\)
\(2.x^x=10.3^{12}+8.3^{12}\)
\(2.x^x=3^{12}.\left(10+8\right)\)
\(2.x^x=3^{12}.18\)
\(2.x^x=3^{12}.2.3^3\)
\(2.x^x=3^{15}.2\)
\(x^x=3^{15}\)( Hình như sai đề )
b,\(3^{2x+2}=9^{x+3}\)
\(3^{2x+2}=3^{2x+3}\)
a) Ta có:
\(\frac{3}{x+2}=\frac{5}{2x+1}\)
\(\Rightarrow3\left(2x+1\right)=5\left(x+2\right)\)
\(\Rightarrow6x+3=5x+10\)
\(\Rightarrow6x-5x=10-3\)
\(\Rightarrow x=7\)
b)Ta có:
\(\frac{5}{8x-2}=\frac{-4}{7-x}\)
\(\Rightarrow5\left(7-x\right)=-4\left(8x-2\right)\)
\(\Rightarrow35-5x=-32x+8\)
\(\Rightarrow-5x+32x=8-35\)
\(\Rightarrow27x=-27\)
\(\Rightarrow x=-1\)
c) Ta có:
\(\frac{4}{3}=\frac{2x-1}{x}\)
\(\Rightarrow4x=3\left(2x-1\right)\)
\(\Rightarrow4x=6x-3\)
\(\Rightarrow3=6x-4x=2x\)
\(\Rightarrow x=\frac{3}{2}\)
d)Ta có:
\(\frac{2x-1}{3}=\frac{3x+1}{4}\)
\(\Rightarrow4\left(2x-1\right)=3\left(3x+1\right)\)
\(\Rightarrow8x-4=9x+3\)
\(\Rightarrow8x-9x=3+4\)
\(\Rightarrow-x=7\Rightarrow x=-7\)
e)Ta có:
\(\frac{4}{x+2}=\frac{7}{3x+1}\)
\(\Rightarrow4\left(3x+1\right)=7\left(x+2\right)\)
\(\Rightarrow12x+4=7x+14\)
\(\Rightarrow12x-7x=14-4\)
\(\Rightarrow5x=10\)
\(\Rightarrow x=2\)
f)Ta có:
\(\frac{-3}{x+1}=\frac{4}{2-2x}\)
\(\Rightarrow-3\left(2-2x\right)=4\left(x+1\right)\)
\(\Rightarrow-6+6x=4x+4\)
\(\Rightarrow6x-4x=4+6\)
\(\Rightarrow2x=10\)
\(\Rightarrow x=5\)
\(x+1⋮x-1\)
\(x-1+2⋮x-1\)
\(2⋮x-1\)hay \(x-1\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)
x - 1 | 1 | -1 | 2 | -2 |
x | 2 | 0 | 3 | -1 |
\(x-2⋮x+1\)
\(x+1-3⋮x+1\)
\(-3⋮x+1\)thự hiện tương tự nhé !
\(2x+3⋮x-2\)
mà \(x-2⋮x-2\Rightarrow2\left(x-2\right)⋮x-2\)
\(\Leftrightarrow2x-4⋮x-2\)
\(\Rightarrow\left(2x+3\right)-\left(2x-4\right)⋮x-2\)
\(\Rightarrow2x+3-2x+4⋮x-2\)
\(\Rightarrow7⋮x-2\Leftrightarrow x-2\inƯ_{\left(7\right)}=\left\{1;7\right\}\)
Vậy \(x\in\left\{3;9\right\}\)