46-4x=30
giải giúp mình nha
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\(\dfrac{4x+2}{4x-2}+\dfrac{3-6x}{6x-6}\left(dkxd:x\ne\dfrac{1}{2};x\ne1\right)\)
\(=\dfrac{2\left(2x+1\right)}{2\left(2x-1\right)}+\dfrac{3\left(1-2x\right)}{6\left(x-1\right)}\)
\(=\dfrac{2x+1}{2x-1}+\dfrac{1-2x}{2\left(x-1\right)}\)
\(=\dfrac{2x+1}{2x-1}+\dfrac{1-2x}{2x-2}\)
\(=\dfrac{\left(2x+1\right)\left(2x-2\right)}{\left(2x-1\right)\left(2x-2\right)}+\dfrac{\left(1-2x\right)\left(2x-1\right)}{\left(2x-1\right)\left(2x-2\right)}\)
\(=\dfrac{4x^2-2x-2}{\left(2x-1\right)\left(2x-2\right)}+\dfrac{-4x^2+4x-1}{\left(2x-1\right)\left(2x-2\right)}\)
\(=\dfrac{4x^2-2x-2-4x^2+4x-1}{\left(2x-1\right)\left(2x-2\right)}\)
\(=\dfrac{2x-3}{\left(2x-1\right)\left(2x-2\right)}\)
\(=\dfrac{2x-3}{4x^2-6x+2}\)
Lời giải:
\(A=\frac{3}{2}\times \frac{4}{3}\times \frac{5}{4}\times ....\times \frac{2000}{1999}\\
=\frac{3\times 4\times 5\times ....\times 2000}{2\times 3\times 4\times ...\times 1999}=\frac{2000}{2}=1000\)
\(46-4x=30\)
\(\Rightarrow4x=16\)
\(\Rightarrow x=4\)
Vậy x=4
46 - 4x = 30
4x = 46 - 30
4x = 16
x = 16 : 4
x = 4