Tìm x biết 2x + 2x+1 + 2x+2 + ... + 2x+2017 = 22020 - 4
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a, 3 - 2x = 3 . (5 - x) + 4
3 - 2x = 15 - 3x + 4
-2x + 3x = 15 + 4 - 3
x = 16
b, 4 - (7x + 2017) = 6 . (5 - x) - 2017
4 - 7x - 2017 = 30 - 6x - 2017
-7x + 6x = 30 - 2017 - 4 + 2017
-x = 26
x = -26
c, 15 - x . (x + 1) = 4 - x^2 + 2x
15 - x^2 - x = 4 - x^2 + 2x
-x^2 - x + x^2 - 2x = 4 - 15
-3x = -11
x = 11/3
d, -4 . (x - 5) + 2016 = 3 . (8 - x) - (2x - 2016)
-4x + 20 + 2016 = 24 - 3x - 2x + 2016
-4x + 3x +2x = 24 + 2016 - 20 - 2016
x = 4
đúng 100%
a: \(8x\left(x-2017\right)-2x+4034=0\)
\(\Leftrightarrow\left(x-2017\right)\left(8x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2017\\x=\dfrac{1}{4}\end{matrix}\right.\)
a: \(\Leftrightarrow2x-2+\left(-8\right)\left(x-2\right)=1\cdot\left(-8\right)\left(x+3\right)\)
=>2x-2-8x+16=-8x-24
=>2x+14=-24
=>2x=-38
hay x=-19
b: \(\Leftrightarrow-\left(2x-1\right)-\left[9-1\right]\cdot\left(2x-1\right)=3+2\left(2x-1\right)-28\)
=>-2x+1-8(2x-1)=3+6x-2-28
=>-2x+1-16x+8=6x-27
=>-18x+9=6x-27
=>-24x=-36
hay x=3/2
a) Thiếu VP
b) 4 - x = 2( x - 4 )2
<=> 4 - x = 2( x2 - 8x + 16 )
<=> 4 - x = 2x2 - 16x + 32
<=> 2x2 - 16x + 32 - 4 + x = 0
<=> 2x2 - 15x + 28 = 0
<=> 2x2 - 8x - 7x + 28 = 0
<=> 2x( x - 4 ) - 7( x - 4 ) = 0
<=> ( x - 4 )( 2x - 7 ) = 0
<=> \(\orbr{\begin{cases}x-4=0\\2x-7=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=4\\x=\frac{7}{2}\end{cases}}\)
c) ( x2 + 1 )( x - 2 ) + 2x = 4
<=> x3 - 2x2 + 3x - 2 - 4 = 0
<=> x3 - 2x2 + 3x - 6 = 0
<=> x2( x - 2 ) + 3( x - 2 ) = 0
<=> ( x - 2 )( x2 + 3 ) = 0
<=> x = 2 ( vì x2 + 3 ≥ 3 > 0 ∀ x )
a, thiếu
b, \(4-x=2\left(x-4\right)^2\Leftrightarrow4-x=2\left(x^2-8x+16\right)\)
\(\Leftrightarrow4-x=2x^2-16x+32\Leftrightarrow2x^2-15x+28=0\)
\(\Leftrightarrow\left(x-4\right)\left(2x-7\right)=0\Leftrightarrow\orbr{\begin{cases}x=4\\x=\frac{7}{2}\end{cases}}\)
c, \(\left(x^2+1\right)\left(x-2\right)+2x=4\Leftrightarrow x^3-2x^2+3x-6=0\Leftrightarrow x_1=2;x_2=\sqrt{3}i\)