5x + 5x+1 + 5x-1 = 7x+1 + 7x + 7x-1
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=>7x+2-(7x-1)/5x+7-(5x+1)
=7x+2-7x+1/5x+7-5x-1=3/6=1/2
=>(7x+2).2=5x+7
=>14x+4=5x+7
=>14x-5x=7-4
=>9x=3=>x=1/3
tick tớ đi buồn quá nãy giờ chưa ai tick.coi như giúp tớ đi
Ta có :
\(\frac{7x+2}{5x+7}=\frac{7x-1}{5x+1}\)
\(=>\left(7x+2\right)\left(5x+1\right)=\left(7x-1\right)\left(5x+7\right)\)
\(=>35x^2+7x+10x+2=35x^2+49x-5x-7\)
\(=>35x^2+17x+2=35x^2+44x-7\)
\(=>17x+2=44x-7\)
\(=>44x-17x=2+7\)
\(=>27x=9\)
\(=>x=\frac{9}{27}=\frac{1}{3}\)
\(\frac{7x-12}{5x-2}=\frac{9-7x}{-5x+1}\)
\(=>\frac{2x-10}{5x-2}+1=\frac{-7x+9}{-5x+1}=\frac{-2x+8}{-5x+1}+1\)
\(=>\frac{2x-10}{5x-2}=\frac{-2x+8}{-5x+1}=\frac{-\left(2x-8\right)}{-\left(5x-1\right)}=\frac{2x-8}{5x-1}\)
\(=>\frac{2x-10}{5x-2}=\frac{2x-8}{5x-1}\)
\(=>\frac{5x-1}{5x-2}=\frac{2x-8}{2x-10}\)
\(=>\frac{-1}{5x-2}=\frac{-2}{2x-10}\)
\(=>-2x+10=-10x+4\)
\(=>-2x+10x=4-10=-6\)
\(=>8x=-6\)
\(=>x=\frac{-6}{8}=\frac{-3}{4}\)
P/s ko chắc :v
Ta có: \(\frac{7x-12}{5x-2}=\frac{7x-9}{5x-1}\)
\(\Rightarrow\left(7x-12\right).\left(5x-1\right)=\left(7x-9\right).\left(5x-2\right)\)
\(\Leftrightarrow35x^2-7x-60x+12=35x^2-14x-45x+18\)
\(\Leftrightarrow\left(35x^2-35x^2\right)-\left(7x+60x-14x-45x\right)=18-12\)
\(\Leftrightarrow8x=6\)
\(\Leftrightarrow x=\frac{3}{4}\)
Vậy \(\Leftrightarrow x=\frac{3}{4}\)
\(7x^2\left(x^2-5x+2\right)-5x\left(x^3-7x^2+3x\right)\)
\(=7x^4-35x^3+14x^2-5x^4+35x^3-15x^2\)
\(=2x^4-x^2\)
Thay: \(x=-\frac{1}{2}\) vào được
\(2.\left(-\frac{1}{2}\right)^4-\left(-\frac{1}{2}\right)^2\)
\(=2.\frac{1}{16}-\frac{1}{4}\)
\(=\frac{1}{8}-\frac{1}{4}=\frac{1}{8}-\frac{2}{8}=-\frac{1}{8}\)
P/s: Ko chắc
\(5.5^{x-1}+5^2.5^{x-1}+5^{x-1}=7^2.7^{x-1}+7.7^{x-1}+7^{x-1}\Rightarrow31.5^{x-1}=57.7^{x-1}\Rightarrow\left(\frac{7}{5}\right)^{x-1}=\frac{57}{31}\Rightarrow x-1=\log_{\frac{7}{5}}\frac{57}{31}\)