999 x 3 = 3 x ...
675 cm = ..... km
Ai nhanh mik ticks
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\(x^6+1=\left(x^2\right)^3+1^3=\left(x^2+1\right)\left(x^4-x^2+1\right)⋮\left(x^2+1\right)\)
\(x^6+1=x^6-x^2+x^2+1=x^2\left(x^4-1\right)+\left(x^2+1\right)\)
\(=x^2\left(x^2-1\right)\left(x^2+1\right)+\left(x^2+1\right)\)
\(=\left(x^2+1\right)\left[x^2\left(x^2-1\right)+1\right]⋮x^2+1\) (đpcm)
\(\frac{2^{11}+3.\left(-2^{10}\right)}{10.\left(-4\right)^5}=\frac{2048+3.1024}{10.\left(-1024\right)}=\frac{2048+3072}{-10240}=\frac{5120}{-10240}=\left(-0.5\right)\)
TH1 \(x\ge0;\left|2x-3\right|=2x-3\)
\(2x-3-5=7x+1\)
\(\Leftrightarrow2x-7x=3+5+1=9\)
\(\Leftrightarrow-5x=9\Rightarrow x=-\frac{9}{5}\left(ktm\right)\)
TH2:\(x< 0;\left|2x-3\right|=-\left(2x-3\right)\)
\(-\left(2x-3\right)-5=7x+1\)
\(\Leftrightarrow-2x+3-5=7x+1\)
\(\Leftrightarrow-2x-7x=-3+5+1=3\)
\(\Leftrightarrow-9x=3\Rightarrow x=-\frac{3}{9}=-\frac{1}{3}\left(tm\right)\)
Vậy \(x=-\frac{1}{3}\)
x7 = 320 : 36
=> x7 = 320 - 6
=> x7 = 314
=> x7 = \(\left(3^2\right)^7\)
=> x = 32
=> x = 9
\(\frac{x^4-5x+4}{x^2-2}=5\left(x-1\right)\)
\(\Leftrightarrow\frac{x^4-5x+4}{x^2-2}\left(x^2-2\right)=5\left(x-1\right)\left(x^2-2\right)\)
\(\Leftrightarrow x^4-5x+4=5\left(x-1\right)\left(x^2-2\right)\)
\(\Rightarrow\hept{\begin{cases}x=\pm1\\x=2\\x=3\end{cases}}\)
P/s: ko chắc
ĐKXĐ : X2 \(\ne\)2
Ta có: \(\frac{x^4-5x+4}{x^2-2}\)= \(5\left(x-1\right)\)\(\Leftrightarrow\frac{\left(x-1\right)\left(x^3+x^2+x-4\right)}{x^2-2}=5\left(x-1\right)\)
\(\Leftrightarrow\left(x-1\right)\left(\frac{x^3+x^2+x-4}{x^2-2}-5\right)\)\(\Leftrightarrow\orbr{\begin{cases}x-1=0\\\frac{x^3+x^2+x-4}{x^2-2}-5=0\end{cases}}\)
\(+x-1=0\Rightarrow x=1\)
+)\(\frac{x^3+x^2+x-4}{x^2-2}-5=0\Leftrightarrow x^3+x^2+x-4-5x^2+10=0\)
\(\Leftrightarrow x^3-4x^2+x+6=0\Leftrightarrow\left(x-2\right)\left(x+1\right)\left(x-3\right)=0\)\(\Leftrightarrow x=2\)hoặc \(x=3\)
hoặc x=-1
Bạn tự kết luận nhé..
ta có : x^4+x^3-x^2+1= (x^4+x^3)-(x^2-1^2)=x^3*(x+1)-(x-1)*(x+1)=(x^3-x+1)(x-1)
\(x^4+x^3-x^2+1\)
\(=\left(x^4+x^3\right)-\left(x^2+1\right)\)
\(=x^3\left(x+1\right)-\left(x+1\right)\left(x-1\right)\)
\(=\left(x+1\right)\left(x^3-x+1\right)\)
Số đó là :
999 x 3 = 3 x 999
675 cm = 0,00675 km
999 x 3 = 3 x 999
675 cm = 0,675 km