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320-4x+43=352
4x+64=320-352
4x+64=-32
4x=-32-64
4x=-96
x=-96:4
x=-24
2(4x+35)=510
4x+35=510:2
4x+35=255
4x=255-35
4x=220
x=220:4
x=55
vậy x=55
320+(413-x)=534
413-x=534-320
413-x=214
x=413-214
x=199
vậy x=199
(x-6)2=16
* (x-6)2=42 (x-6)2=(-4)2
x-6=4 x-6=-4
x=10 x=2
vậy x=10 hoặc x=2
3(9x+2)=60
9x+2=60:3
9x+2=20
9x=18
x=18:9
x=2
vậy x=2
2(4X+35)=510
4X+35=510/2
4X+35=255
4X =255-35
4X =220
X=220/4
X=55
VẬY X =55
\(\left(4x-1\right)\left(4x-1\right)^2-\left(4x-3\right)\left(16x^2+3\right)\)
\(=\left(4x-1\right)^3-\left(4x-3\right)\left(16x^2+3\right)\)
\(=64x^3-48x^2+12x-1-64x^3-12x+48x^2-9\)
=-10
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
\(\Rightarrow8\cdot4^{x+1}=128\\ \Rightarrow4^{x+1}=16=4^2\\ \Rightarrow x+1=2\Rightarrow x=1\)
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
\(=>4xx-4x+1=0\)
\(4x\left(x-1\right)+1=0\)
\(=>\left[{}\begin{matrix}4x=0\\\left(x-1\right)+1=0\end{matrix}\right.=>\left[{}\begin{matrix}x=0\\x-1=-1\end{matrix}\right.\left[{}\begin{matrix}x=0\\x=0\end{matrix}\right.\)
vậy x=0
\(4x^2-4x+1=0\Leftrightarrow\left(2x-1\right)^2=0\Leftrightarrow x=\dfrac{1}{2}\)
Sửa đề : \(\frac{3}{4}x-\frac{1}{4}=2\left(x-3\right)-\frac{1}{4}x\)
\(\frac{3}{4}x-\frac{1}{4}=2x-6-\frac{1}{4}x\)
\(\frac{3}{4}x-\frac{1}{4}=\frac{7}{4}x+2x\)
\(-x-\frac{1}{4}=2x\)
\(-x-\frac{1}{4}-2x=0\)
\(-3x-\frac{1}{4}=0\)
\(-3x=\frac{1}{4}\Leftrightarrow x=-\frac{1}{12}\)
4x + 4x+1=320
4x x 1 + 4x x 4 =320
4x x ( 1 + 4 ) =320
4x x 5 =320
4x =320 : 5
4x = 64
4x = 43
=> x = 3
Vậy x = 3