(11x+52).809=8010
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Quy đồng mẫu số hai phân số ta được hai phân số: \(\frac{334117}{667425}\)và \(\frac{334125}{667425}\)
Vậy 413/825 < 405/809
\(\frac{413}{825}\)và \(\frac{405}{809}\)
Ta so sánh tử với tử , mẫu với mẫu
413 > 405
825 > 809
=> \(\frac{413}{825}>\frac{405}{809}\)
Thay 11= 10+1 ta có
x10-(10+1)x9+(10+1)x8-(10+1)x7+(10+1)x6-(10+1)x5+(10+1)x4-(10+1)x3+(10+1)x2-(10+1)x+2
= x10-(x+1)x9+(x+1)x8-(x+1)x7+(x+1)x6-(x+1)x5+(x+1)x4-(x+1)x3+(x+1)x2-(x+1)x+2
= x10-x10-x9+x9+x8-x8-x7+x7+x6-x6-x5+x5+x4-x4-x3+x3+x2-x2-x+2
= -x+2
Thay x=10 vào bt
= -10+2
= -8
( 44 x 52 x 60 ) : (11 x 13 x 15)
= 44 x 52 x 60 : 11 : 13 :15
= (44 : 11) x ( 52 : 13) x ( 60 : 15)
= 4 x 4 x 4
= 64
c) \(\left|x\right|=3,5\Rightarrow\left[{}\begin{matrix}x=3,5\\x=-3,5\end{matrix}\right.\)
d) \(\left|x\right|=-2,7\Rightarrow x\in\varnothing\)
l) \(\left|x+\dfrac{3}{4}\right|-5=-2\Rightarrow\left|x+\dfrac{3}{4}\right|=3\)
\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{3}{4}=3\\x+\dfrac{3}{4}=-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=3-\dfrac{3}{4}\\x=-3-\dfrac{3}{4}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{9}{4}\\x=\dfrac{15}{4}\end{matrix}\right.\)
Đính chính câu l \(x=-\dfrac{15}{4}\) không phải \(x=\dfrac{15}{4}\)
\(\dfrac{2}{x^2+4x+3}+\dfrac{5}{x^2+11x+24}+\dfrac{2}{x^2+18x+80}=\dfrac{9}{52}\\ ĐKXĐ:x\ne-1;x\ne-3;x\ne-8;x\ne-10\\ \Leftrightarrow\dfrac{2}{\left(x+1\right)\left(x+3\right)}+\dfrac{5}{\left(x+3\right)\left(x+8\right)}+\dfrac{2}{\left(x+8\right)\left(x+10\right)}=\dfrac{9}{52}\\ \Leftrightarrow\dfrac{1}{x+1}-\dfrac{1}{x+3}+\dfrac{1}{x+3}-\dfrac{1}{x+8}+\dfrac{1}{x+8}-\dfrac{1}{x+10}=\dfrac{9}{52}\\ \Leftrightarrow\dfrac{1}{x+1}-\dfrac{1}{x+10}=\dfrac{9}{52}\\ \Leftrightarrow\dfrac{52\left(x+10\right)}{52\left(x+1\right)\left(x+10\right)}-\dfrac{52\left(x+1\right)}{52\left(x+1\right)\left(x+10\right)}=\dfrac{9\left(x+1\right)\left(x+10\right)}{52\left(x+1\right)\left(x+10\right)}\\ \Leftrightarrow52\left(x+10\right)-52\left(x+1\right)=9\left(x+1\right)\left(x+10\right)\\ \Leftrightarrow9\left(x^2+10x+x+10\right)=52\left(x+10-x-1\right)\\ \Leftrightarrow9\left(x^2+11x+10\right)=52\cdot9\\ \Leftrightarrow x^2+11x+10=52\\ \Leftrightarrow x^2+14x-3x-42=0\\ \Leftrightarrow x\left(x+14\right)-3\left(x+14\right)=0\\ \Leftrightarrow\left(x-3\right)\left(x+14\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-3=0\\x+14=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-14\end{matrix}\right.\left(T/m\right)\)
Vậy.............
(11x+52).809=8010..........................
=> 11x + 25 = 80......................
=> 11x =55.........................
=> x= 5...........................
(11x+52).809=8010..........................
=> 11x + 25 = 80......................
=> 11x =55.........................
=> x= 5...........................