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(2x2 + 1)(x-3)=0
\(\Rightarrow\orbr{\begin{cases}2x^2+1=0\\x-3=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x^2=-1\Rightarrow x^2=-\frac{1}{2}\left(vl\right)\\x=3\end{cases}}\)
Vậy x=3
48-(15-x)5=48
(15-x)5=48-48
(15-x)5=0
=> 15-x =0
x =15-0
x =15
Vậy x=15
Có tất cả 2015 số hạng
Tổng bằng (2x+1+2x+2015).2015/2=0
4x+2016=0
4x=0-2016=-2016
x=(-2016):4=-504
100% đúng
a)
`(1/2+2x)(2x-3)=0`
\(=>\left[{}\begin{matrix}\dfrac{1}{2}+2x=0\\2x-3=0\end{matrix}\right.\\ =>\left[{}\begin{matrix}2x=-\dfrac{1}{2}\\2x=3\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=-\dfrac{1}{4}\\x=\dfrac{3}{2}\end{matrix}\right.\)
b)
`1/4-(2x+1/2)^2=0`
`=>(2x+1/2)^2=1/4`
\(=>\left[{}\begin{matrix}2x+\dfrac{1}{2}=\dfrac{1}{2}\\2x+\dfrac{1}{2}=-\dfrac{1}{2}\end{matrix}\right.\\ =>\left[{}\begin{matrix}2x=0\\2x=-1\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=0\\x=-\dfrac{1}{2}\end{matrix}\right.\)
\(\Leftrightarrow2x+1+2x+2+2x+3+....+2x+101=5757\)
\(\Leftrightarrow2x.101+\left[1+2+3+....+101\right]=5757\)
\(\Leftrightarrow202x+\frac{\left[101+1\right]101}{2}=5757\)
\(\Leftrightarrow202x+5151=5757\)
\(\Leftrightarrow202x=606\)
\(\Leftrightarrow x=3\)
Vậy x=3
a, 2x + 2x+1 + 2x+2 + 2x+3 = 480
=> 2x + 2x.2 + 2x.22 + 2x.23 = 480
=> 2x.(1 + 2 + 22 + 23) = 480
=> 2x.15 = 480
=> 2x = 480 : 15
=> 2x = 32 = 25
=> x = 5
b, |7 - x| = -13 - 5.(-8)
|7 - x| = 27
\(\Rightarrow\hept{\begin{cases}7-x=27\\-7+x=27\end{cases}}\Rightarrow\hept{\begin{cases}x=-20\\x=34\end{cases}}\)
a. 1440 : [ 120 - (3x + 9 ) ] = 120
120 - (3x + 9) = 1440 : 120 = 12
3x + 9 = 120 - 12 = 108
3x = 108 - 9 = 99
x = 99 : 3 = 33
b. 120 + [ ( 999 - 9x ) : 60 ] . 24 = 480
[ ( 999 - 9x ) : 60 ] . 24 = 480 - 120 = 360
( 999 - 9x ) : 60 = 360 : 24 = 15
( 999 - 9x ) = 15 . 60 = 900
9x = 999 - 900 = 99
x = 99 : 9 = 11
2x+2x+1+2x+2+2x+3=480
<=>2x.(1+2+22+23)=480
<=>2x.15=480
<=>2x=32=25
<=>x=5
ta co1;2^x+2^x+1+2^x+2+2^x+3=480
=>2^x.1+2^x.2+2^x.2^2+2^x.2^3=480
=>2^x.(1+2+2^2+2^3)=480
=>2^x=480:15=32
=>2^x=2^5
=>x=5