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\(\left(4x-1\right)\left(4x-1\right)^2-\left(4x-3\right)\left(16x^2+3\right)\)
\(=\left(4x-1\right)^3-\left(4x-3\right)\left(16x^2+3\right)\)
\(=64x^3-48x^2+12x-1-64x^3-12x+48x^2-9\)
=-10
\(5-4x=21\)
\(4x=5-21\)
\(4x=-16\)
\(x=\left(-16\right):4\)
\(x=-4\)
\(\frac{1}{4}x+\frac{1}{8}=\frac{1}{3}\)
\(\frac{1}{4}x=\frac{1}{3}-\frac{1}{8}\)
\(\frac{1}{4}x=\frac{5}{24}\)
\(x=\frac{5}{24}:\frac{1}{4}\)
\(x=\frac{5}{6}\)
3/4x-7/3=1/4x+1/6
=>3/4x=1/4x+1/6+7/3
=>3/4x=1/4x+5/2
=>3/4x - 1/4x =5/2
=>1/2x=5/2
=>.......................................
(4x - 1)2 = (1 - 4x)4
<=> 16x2 - 8x + 1 = 1 - 16x + 96x2 - 256x3 + 256x4
<=> 1 - 16x + 96x2 - 256x3 + 256x4 = 16x + 8x + 1
<=> 1 - 16x + 96x2 - 256x3 + 256x4 - 1 = 16x - 8x
<=> -16x + 96x2 - 256x3 + 256x4 = 16x - 8x
<=> -16x + 96x2 - 256x3 + 256x4 + 8x = 16x
<=> 256x4 - 256x3 + 96x2 - 8x - 16x = 0
<=> 256x4 - 256x3 + 80x2 - 8 = 0
<=> 8x(2x - 1)(4x - 1)2 = 0
<=> x = 0 hoặc 2x - 1 = 0 hoặc 4x - 1 = 0
2x = 0 + 1 4x = 0 + 1
2x = 1 4x = 1
x = 1/2 x = 1/4
=> x = 0 hoặc x = 1/2 hoặc x = 1/4
\(\Rightarrow8\cdot4^{x+1}=128\\ \Rightarrow4^{x+1}=16=4^2\\ \Rightarrow x+1=2\Rightarrow x=1\)
4 \(\times\) (\(x-1\))3 - 1 = 3
4 \(\times\) (\(x\) - 1)3 = 3 + 1
4 \(\times\) (\(x-1\))3 = 4
(\(x-1\))3 = 4:4
(\(x-1\))3 = 1
\(x-1=1\)
\(x\) = 1 + 1
\(x\) = 2
đặt 4x-1=t
=>t4=t3
=>t4-t3=0
=>t3(t-1)=0
=>t3=0 hoặc t-1=0
=>t=0;1
=>x=1/4;1/2
Sửa đề : \(\frac{3}{4}x-\frac{1}{4}=2\left(x-3\right)-\frac{1}{4}x\)
\(\frac{3}{4}x-\frac{1}{4}=2x-6-\frac{1}{4}x\)
\(\frac{3}{4}x-\frac{1}{4}=\frac{7}{4}x+2x\)
\(-x-\frac{1}{4}=2x\)
\(-x-\frac{1}{4}-2x=0\)
\(-3x-\frac{1}{4}=0\)
\(-3x=\frac{1}{4}\Leftrightarrow x=-\frac{1}{12}\)
\(2\left(\frac{3}{4}x-1\right)-3y\left(1-\frac{3}{4}x\right)=0\)
\(\Leftrightarrow\)\(2\left(\frac{3}{4}x-1\right)+3y\left(\frac{3}{4}x-1\right)=0\)
\(\Leftrightarrow\)\(\left(\frac{3}{4}x-1\right)\left(2+3y\right)=0\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}\frac{3}{4}x-1=0\\2+3y=0\end{cases}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=\frac{4}{3}\\y=-\frac{2}{3}\end{cases}}\)
\(7\cdot4^{x-1}+4^{x+1}=4^x\cdot7\cdot\dfrac{1}{4}+4^x\cdot4\)
\(=4^x\left(7,25+4\right)=11,25\cdot4^x\)