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X x 2 + 85 + X x 3 = 195
X x (2 + 3) = 195 - 85
X x 5 = 110
X = 110 : 5
X = 22
Ta có: \(x=7\Rightarrow8=x+1\)Thay 8=x+1 vào B ta được:
\(B=x^{15}-\left(x+1\right)x^{14}+\left(x+1\right)x^{13}-...-\left(x+1\right)x^2+\left(x+1\right)x-5\)
\(=x^{15}-x^{15}-x^{14}+x^{14}+x^{13}-...-x^3-x^2+x^2+x-5\)
\(=x-5\)Thay x=7 ta được:
\(B=7-5=2\)
Vậy \(B=2\)với x=7
a) \(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
\(\Rightarrow\hept{\begin{cases}\left|\frac{5}{4}x-\frac{7}{2}\right|=0\\\left|\frac{5}{8}x+\frac{3}{5}\right|=0\end{cases}}=\hept{\begin{cases}\left|\frac{5}{4}x\right|=\frac{7}{2}\\\left|\frac{5}{8}x\right|=\frac{-3}{5}\end{cases}=\hept{\begin{cases}x=\frac{14}{5}\\x=\frac{-24}{25}\end{cases}}}\)
b) \(\left|\frac{7}{8}x+\frac{5}{6}\right|-\left|\frac{1}{2}x+5\right|=0\)
\(\Rightarrow\hept{\begin{cases}\left|\frac{7}{8}x+\frac{5}{6}\right|=0\\\left|\frac{1}{2}x+5\right|=0\end{cases}}=\hept{\begin{cases}\left|\frac{7}{8}x\right|=\frac{-5}{6}\\\left|\frac{1}{2}x\right|=-5\end{cases}}\Rightarrow\hept{\begin{cases}x=\frac{-20}{21}\\x=\frac{-5}{2}\end{cases}}\)
[ 7/8x + 5/6x ] - [ 1/2x + 5 ] = 0
7/8x + 5/6x -1/2x -5 =0
7/8x + 5/6x -1/2x = 5
x ( 7/8 + 5/6 - 1/2 ) =5
x . 29/24 = 5
x = 5 : 29/24 = 120/29
xin lỗi nhé, làm lại
[ 7/8x + 5/6] -[1/2x + 5] = 0
7/8x + 5/6-1/2x-5=0
7/8x - 1/2x + 5/6 - 5 =0
7/8x-1/2x = 0 + 5 - 5/6 = 25/6
x( 7/8 -1/2) = 25/6
x. 3/8 = 25/6
x = 25/6 :3/8 = 100/9
\(\Rightarrow\left[{}\begin{matrix}8x-16=0\\x-5=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)
\(\left(8x-16\right)\left(x-5\right)=0\\ \Leftrightarrow8\left(x-2\right)\left(x-5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-2=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)
(8\(x\) - 16).(\(x\) - 5) = 0
\(\left[{}\begin{matrix}8x-16=0\\x-5=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}8x=16\\x-5=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=2\\x=5\end{matrix}\right.\)
Vậy \(x\) \(\in\){2; 5}
\(\dfrac{5}{8x-2}=\dfrac{-4}{7-x}\)
\(\Leftrightarrow-4\left(8x-2\right)=5\left(7-x\right)\)
\(\Leftrightarrow-32x+8=35-5x\)
\(\Leftrightarrow-32x+5x=35-8\)
\(\Leftrightarrow-27x=27\)
\(\Leftrightarrow x=-1\)
8x+17-5=8
=>8x=8+5-17
=>8x=-4
=>x=(-4):8
=>x=\(\frac{-1}{2}\)
****
8x + 17 - 5 = 8
8x + 12 = 8
8x = 8 - 12
8x = -4
x = -1/2
đúng cho mình nha