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= \(\frac{183}{100}\). \(\frac{11}{5}\)+ \(\frac{-168}{25}\). \(\frac{11}{5}\)- \(\frac{11}{100}\). \(\frac{11}{5}\)- ( - 1 )
=\(\frac{11}{5}\). ( \(\frac{183}{100}\)+ \(\frac{-168}{25}\)-\(\frac{11}{100}\)) + 1
=\(\frac{11}{5}\). ( - 5 ) +1
= - 11 + 1
= - 10
Ax1000=1830.11/5-672.22-110.11/5+1000
=(1830.11-672.22.5-110.11+5000)/5
=(1830.11-6720.11-110.11+5000)/5
=(1830.11-6830.11+5000)/5
=(-5000.11+5000)/5
=-5000.10/5
=1000.10
\(\left(3x-5\right)^8=\frac{1}{125}\left(5-3x\right)^{11}\)
\(\Leftrightarrow-\left(3x-5\right)^8=-\frac{1}{125}\left(3x-5\right)^{11}\)
\(\Leftrightarrow-1=-\frac{1}{125}\left(3x-5\right)^3\)
\(\Leftrightarrow\frac{1}{125}\left(3x+5\right)^3=1\)
\(\Leftrightarrow\left(3x-5\right)^3=125\)
\(\Leftrightarrow3x-5=\sqrt[3]{125}\)
\(\Leftrightarrow3x-5=5\)
\(\Leftrightarrow3x=10\)
\(\Leftrightarrow x=\frac{10}{3}\)
Vậy phương trình đã cho có tập nghiệm \(S=\left\{\frac{10}{3}\right\}\)
-3/2 - | 3x + 4 |.2/5= 2
<=> | 3x + 4 | = (2+3/2)/(2/5)
<=> | 3x + 4 | = 35/4
<=>3x + 4 =35/4
Hoặc 3x + 4 = - 35/4
Tự giải nốt nha
\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(\Leftrightarrow\frac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{13}.3^{13}-2^{11}.3^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.2^{12}-2^{11}.2^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}.\left(1+5\right)}{6^{12}-6^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}.6}{6^{11}.\left(6-1\right)}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}.2.3}{6^{11}.\left(6-1\right)}\)
\(\Leftrightarrow\frac{2^{13}.3^{11}}{6^{11}.5}\)
\(\Leftrightarrow\frac{2^{11}.3^{11}.2^2}{6^{11}.5}\)
\(\Leftrightarrow\frac{6^{11}.4}{6^{11}.5}\Leftrightarrow\frac{4}{5}\)
Ax1000 = 1830.11/5 - 672.22 -110.11/5 +1000
=(1830.11 -672.22.5-110.11+5000)/5
=(1830.11-6720.11-110.11+5000)/5=(1830.11-6830.11+5000)/5=(-5000.11+5000 )/5=-5000.10/5=-1000.10
vậy A = -10