2x+1 | 1 | -1 | 3 | -3 | 9 | -9 |
x |
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a) \(x.\left(5-2x\right)+2x.\left(x-1\right)=13\)
\(\Rightarrow5x-2x^2+2x^2-2x=13\)
\(\Rightarrow3x=13\)
\(\Rightarrow x=\dfrac{13}{3}\)
b) \(9x.\left(x-1\right)-\left(3x-1\right)^2=11\)
\(\Rightarrow9x^2-9x-\left(9x^2-6x+1\right)=11\)
\(\Rightarrow3x=12\)
\(\Rightarrow x=4\)
a) x ( 5 - 2x) + 2x (x - 1 ) = 13
\(\Rightarrow\) 5x - 2x2 + 2x3 - 2x = 13
( 5x - 2x ) + (-2x2 + 2x3) = 13
3x + x =13
4x = 13
x = \(\dfrac{13}{4}\)
b) 9x ( x - 1 ) - ( 3x - 1 )2 = 11
\(\Rightarrow\) 9x2 - 9x - ( 9x2 - 6x + 1 ) = 11
3x = 12
x = 12/3 = 4
a)4.(x+3)-(2x-12)=x-(-11+4)
4x+12-2x+12=x+11-4
2x+24=x+7
2x-x=-24+7
x=-17
b)-(4x-13)+(5x-4)=-3-(-15+7)
-4x+13+5x-4=-3+15-7
(-4x+5x)+13-4=12-7
x+9=5
x=-4
c)(5x-3)-(-2x+4)=6x-12
5x-3+2x-4=6x-12
5x+2x-6x=3+4-12
x=-5
d)(15x+20)-(9x-3)=5x-(-12)
15x+20-9x+3=5x+12
15x-9x-5x=-20-3+12
x=-11
e,(7x+14)+(3x-8)=-(-9x+3)
7x+14+3x-8=9x-3
7x+3x-9x=-14+8-3
x=-9
\(8^{13}-9.8^{12}+9.8^{11}-9.8^{10}+.....-9.8^2+9.8-2\)
\(=8^{13}-\left(8+1\right).8^{12}+\left(8+1\right).8^{11}-\left(8+1\right).8^{10}+....-\left(8+1\right).8^2+\left(8+1\right).8-2\)
\(=8^{13}-8^{13}-8^{12}+8^{12}+8^{11}-8^{11}-8^{10}+....-8^3-8^2+8^2+8-2\)
\(=\left(8^{13}-8^{13}\right)-\left(8^{12}-8^{12}\right)+\left(8^{11}-8^{11}\right)-....-\left(8^2-8^2\right)+8-2\)
\(=8-2=6\)
x=8 nên x+1=9
\(F=x^{13}-9x^{12}+9x^{11}-9x^{10}+...-9x^2+9x-2\)
\(=x^{13}-x^{12}\left(x+1\right)+x^{11}\left(x+1\right)-x^{10}\left(x+1\right)+...-x^2\left(x+1\right)+x\left(x+1\right)-2\)
\(=x^{13}-x^{13}-x^{12}+x^{12}+...-x^3-x^2+x^2+x-2\)
=x-2
=8-2
=6
a, \(\left|x-3\right|-16=-4\Leftrightarrow\left|x-3\right|=12\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=12\\x-3=-12\end{cases}\Leftrightarrow\orbr{\begin{cases}x=15\\x=-9\end{cases}}}\)
b, \(26-\left|x+9\right|=-13\Leftrightarrow\left|x+9\right|=39\)
\(\Leftrightarrow\orbr{\begin{cases}x+9=39\\x+9=-39\end{cases}\Leftrightarrow\orbr{\begin{cases}x=30\\x=-48\end{cases}}}\)
f, \(9x+25=-\left(2x-58\right)\Leftrightarrow9x+25=-2x+58\)
\(\Leftrightarrow11x-33=0\Leftrightarrow x=3\)
Làm nốt nhé !
a. \(\left|x-3\right|-16=-4\)
\(\Rightarrow\left|x-3\right|=12\)
\(\Rightarrow\orbr{\begin{cases}x-3=12\\x-3=-12\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=15\\x=-9\end{cases}}\)
b. \(26-\left|x+9\right|=-13\)
\(\Rightarrow\left|x+9\right|=39\)
\(\Rightarrow\orbr{\begin{cases}x+9=39\\x+9=-39\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=30\\x=-48\end{cases}}\)
c. \(5-\left(10-x\right)=7\)
\(\Rightarrow10-x=-2\)
\(\Rightarrow x=12\)
d. \(11+\left(15-x\right)=1\)
\(\Rightarrow15-x=-10\)
\(\Rightarrow x=25\)
e. \(8x-75=5x+21\)
\(\Rightarrow8x-5x=75+21\)
\(\Rightarrow3x=96\)
\(\Rightarrow x=32\)
f. \(9x+25=-\left(2x-58\right)\)
\(\Rightarrow9x+25=-2x+58\)
\(\Rightarrow9x+2x=58-25\)
\(\Rightarrow11x=33\)
\(\Rightarrow x=3\)
g. \(\left|x+3\right|=4\)
\(\Rightarrow\orbr{\begin{cases}x+3=4\\x+3=-4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=-7\end{cases}}\)
h. \(15-\left|2x-1\right|=\left|-8\right|\)
\(\Rightarrow15-\left|2x-1\right|=8\)
\(\Rightarrow\left|2x-1\right|=7\)
\(\Rightarrow\orbr{\begin{cases}2x-1=7\\2x-1=-7\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=4\\x=-4\end{cases}}\)
Bài làm
Vậy x = { 0; 1; -1; 2; 4; -5 }