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=>(2x+3).(10x+2)=(5x+2).(4x+5)
=>(2x.10x)+(2x.2)+(3.10x)+(3.2)=(5x.4x)+(5x.5)+(2.4x)+(2.5)
=>20x2+4x+30x+6=20x2+25x+8x+10
=>20x2-20x2+4x-8x+30x-25x=10-6
=>0+4x-8x+30x-25x=4
=>-4x+30x-25x=4
=>26x-25x=4
=>x=4
B)=>(3x-1).(5x-34)=(40-5x).(25-3x)
=>15x2-102x-5x+34=1000-120x-125x+15x2
=>15x2-107x+34=1000-245x+15x2
=>15x2-15x2-107x+245x=1000-34
=>0-107x+245x=966
=>138x=966
=>x=7
A,=>(2x+3).(10x+2)=(5x+2).(4x+5)
=>(2x.10x)+(2x.2)+(3.10x)+(3.2)=(5x.4x)+(5x.5)+(2.4x)+(2.5)
=>20x2+4x+30x+6=20x2+25x+8x+10
=>20x2-20x2+4x-8x+30x-25x=10-6
=>0+4x-8x+30x-25x=4
=>-4x+30x-25x=4
=>26x-25x=4
=>x=4
a) \(\left(3x-1\right)^4=\frac{1}{16}\)
\(\Rightarrow\orbr{\begin{cases}3x-1=\frac{1}{2}\\3x-1=-\frac{1}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x=\frac{1}{2}+1=\frac{3}{2}\\3x=-\frac{1}{2}+1=\frac{1}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=\frac{1}{6}\end{cases}}\)
b) \(\left(5x-2\right)^2=\frac{25}{121}\)
\(\Rightarrow\orbr{\begin{cases}5x-2=\frac{5}{11}\\5x-2=-\frac{5}{11}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}5x=\frac{5}{11}+2=\frac{27}{11}\\5x=-\frac{5}{11}+2=\frac{17}{11}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{27}{55}\\x=\frac{17}{55}\end{cases}}\)
c) \(\left(5x+6\right)^3=\frac{-8}{27}=\left(\frac{-2}{3}\right)^3\)
\(\Rightarrow5x+6=-\frac{2}{3}\)
\(\Rightarrow5x=-\frac{2}{3}-6=-\frac{20}{3}\)
\(\Rightarrow x=-\frac{20}{3}:5=-\frac{4}{3}\)
a) (3x — 1) ^4 = 1/16
=>3x-1=-1/2 hoặc 1/2
- Với 3x-1=-1/2
=>3x=1/2
=>x=1/6
- Với 3x-1=1/2
=>3x=3/2
=>x=1/2
b)(5x — 2 )^2 = 25/121
=>5x-2=-5/11 hoặc 5/11
- Với 5x-2=-5/11
=>5x=17/11
=>x=17/55
- Với 5x-2=5/11
=>5x=27/11
=>x=27/55
c)(5x + 6)^3= -8/27
=>5x+6=-2/3
=>5x=-20/3
=>x=-4/3
\(\dfrac{3}{5}x-\dfrac{25}{4}=\dfrac{1}{2}:x+\dfrac{5}{4}\)
=>\(\dfrac{3}{5}x-\dfrac{25}{4}-\dfrac{1}{2x}+\dfrac{5}{4}\)
=>\(\dfrac{3}{5}x-\dfrac{1}{2x}=\dfrac{30}{4}\)
=>\(\dfrac{3x}{5}-\dfrac{1}{2x}=\dfrac{30}{4}\)
=>\(\dfrac{6x^2-5}{10x}=\dfrac{30}{4}\)
=>\(6x^2-5=10x\cdot\dfrac{30}{4}=5x\cdot15=75x\)
=>\(6x^2-75x-5=0\)
=>\(x=\dfrac{75\pm\sqrt{5745}}{12}\)
a) 2x.3/5 - 5x = 3/2 - 7x
6x/5 - 5x = 3/2 - 7x
-19x/5 = 3/2 - 7x
-19x = 15/2 - 35x
-19x + 35x = 15/2
16x = 15/2
x = 15/2 : 16
x = 15/32
b) (x - 1/5)2 = 4/25
(x - 1/5)2 = (+-2/5)2
x - 1/5 = +-2/5
x - 1/5 = 2/5 hoặc x - 1/5 = -2/5
x = 2/5 + 1/5 x = -2/5 + 1/5
x = 3/5 x = -1/5
( 5x +3 )2 = -25
( 5x+3)2=52 hoặc ( 5x+3)2=(-5)2
Vì 5x+3 khác 0 nên 5x+3=5 hoặc 5x+3 = -5
Nếu 5x+3 =5
5x=5-3
5x = 2
x=2:5
x=\(\frac{2}{5}\)
Nếu 5x+3=-5
5x = ( - 5)- 3
5x = -8
x= -8 : 5
x =\(\frac{-8}{5}\)
x = \(-1\frac{3}{5}\)
Vậy x = \(\frac{2}{5}\); x = \(-1\frac{3}{5}\)