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b1:
\(-5.\left(x-\frac{1}{5}\right)-\frac{1}{2}\left(x-\frac{2}{3}\right)=\frac{3}{2}x-\frac{5}{6}\Leftrightarrow-5x+1-\frac{1}{2}x+\frac{1}{3}=\frac{3}{2}x-\frac{5}{6}\)
\(\Leftrightarrow-\frac{11}{2}x+\frac{4}{3}=\frac{3}{2}x-\frac{5}{6}\Leftrightarrow-\frac{11}{2}x-\frac{3}{2}x=-\frac{5}{6}-\frac{4}{3}\Leftrightarrow-7x=-\frac{13}{6}\)
\(\Leftrightarrow x=\frac{-13}{6}:\left(-7\right)=\frac{13}{42}\)
b2:
a)\(3^{3x-1}=9^{x-2}\Leftrightarrow3^{3x-1}=\left(3^2\right)^{x-2}\Leftrightarrow3^{3x-1}=3^{2x-4}\Leftrightarrow3x-1=2x-4\)
<=>3x-2x=-4+1<=>x=-3
b)\(\left(x-1\right)^4=\left(x-1\right)^6\Leftrightarrow\left(x-1\right)^4-\left(x-1\right)^6=0\Leftrightarrow\left(x-1\right)^4\left[1-\left(x-1\right)^2\right]=0\)
\(\Leftrightarrow\left(x-1\right)^4\left[1-\left(x^2-2x+1\right)\right]=0\Leftrightarrow\left(x-1\right)^4\left(1-x^2+2x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)^4\left(-x^2+2x\right)=0\Leftrightarrow\left(x-1\right)^4.\left(-x\right).\left(x-2\right)=0\)
<=>(x-1)4=0 hoặc -x=0 hoặc x-2=0 <=> x=1 hoặc x=0 hoặc x=2
a) \(2\left(2x-7\right)^2=18\)
\(\Leftrightarrow\left(2x-7\right)^2=9\)
\(\Leftrightarrow\left(2x-7\right)^2=3^2\)
\(\Leftrightarrow2x-7=3\)
\(\Leftrightarrow2x=10\)
\(\Leftrightarrow x=5\)
2.(2X-7)^2= 18
(2X-7)^2=18:2
(2x-7)^2= 9
(2x-7)^2 = 3^2 = (-3)^2
=> (2x-7)^2 = 3^2 và (2x-7)^2 = (-3)^2
a) \(\frac{4^2.25^2+32,125}{2^3.5^2}=\frac{\left(4.25\right)^2+32,125}{8.25}=\frac{100^2+32,125}{200}=\frac{10000+32,125}{200}=\frac{10032,125}{200}=50,160625\)
b) \(\frac{4^5.9^4.2.6^9}{2^{10}.3^8+20}=\frac{2^{10}.3^8.2.2^9.3^9}{2^{10}.3^8+2^2.5}=\frac{2^{10}.3^9}{2^2.5}=\frac{20155392}{20}=1007769,6\)
Mình không chắc là đúng hay sai đâu nhé ! Nếu sai mong bạn thứ lỗi!
= 93809060 nhé bạn
cảm ơn