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\(c,\Rightarrow234-x^2+5=230\Rightarrow x^2=9\Rightarrow\left[{}\begin{matrix}x=3\\x=-3\end{matrix}\right.\)
\(d,\Rightarrow44\left(3^{x+1}-3^5\right)=0\\ \Rightarrow3^{x+1}-3^5=0\\ \Rightarrow3^{x+1}=3^5\Rightarrow x+1=5\Rightarrow x=4\\ e,\Rightarrow\left(x+1\right)\left(x+2\right)=666\cdot667\Rightarrow x+1=666\Rightarrow x=665\\ f,\Rightarrow\left(3-x\right)^{15x-30}=1=1^{15x-30}\\ \Rightarrow3-x=1\Rightarrow x=2\)
c) \(234-30^0\left(x^2-5\right)=230\)
\(\Rightarrow234-x^2+5=230\)
\(\Rightarrow x^2=9\Rightarrow x=\pm3\)
d) \(\Rightarrow44\left(3^{x+1}-3^5\right)=0\)
\(\Rightarrow3^{x+1}-3^5=0\)
\(\Rightarrow3^{x+1}=3^5\)
\(\Rightarrow x+1=5\Rightarrow x=4\)
e) \(\left(x+1\right)\left(x+2\right)=444222\)
\(\Rightarrow\left(x+1\right)\left(x+2\right)=666.667\)
\(\Rightarrow\left\{{}\begin{matrix}x+1=666\\x+2=667\end{matrix}\right.\)\(\Rightarrow x=665\)
f) \(\left(3-x\right)^{15x}:\left(3-x\right)^{30}=1\left(x\ne3\right)\)
\(\Rightarrow\left(3-x\right)^{15x-30}=1\)
\(\Rightarrow15x-30=0\Rightarrow15x=30\Rightarrow x=2\left(tm\right)\)
A = 4+(22+23+24+...+220)
A-4 = 22+23+24+...+220
2(A-4) = 23+24+25+...+221
A-4=2(A-4)-(A-4) = (23+24+25+...+221)-(22+23+24+...+220)
A-4 = (23-23)+(24-24)+(25-25)+...+(220-220)+(221-22)
A-4 = 221-4
A = 221-4+4
A = 221
1/2+1/3+1/6+1/12+1/15+1/20+1/30+1/35+1/42+1/63
=(1/2+1/6+1/12+1/20+1/30+1/42) + (1/3 +1/15+1/35+1/63)
=(1/1.2+1/2.3+1/3.4+1/4.5+1/5.6+1/6,7)+(1/1.3+1/3.5+1/5.7+1/7.9)
=(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6 -1/7) + 1/2.(2/1.3+2/3.5+2/5.7+2/7,9)
=(1-1/7)+ 1/2.(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9)
=6/7+1/2 .(1-1/9)
=6/7+1/2.(8/9)
=6/7+4/9
=82/63
học tốt
a: Bạn chụp rõ đề lại nha
b: \(9A=\dfrac{3^{125}+9}{3^{125}+1}=1+\dfrac{8}{3^{125}+1}\)
\(9B=\dfrac{3^{124}+1-1}{3^{124}+1}=1-\dfrac{1}{3^{124}+1}\)
mà 8/3^125+1>0>-1/3^124+1
nên 9A>9B
=>A>B
2155-(174+2155)+(-68+174)
=2155-174-2155-68+174
=(2155-2155)+(-174+174)-68
=-68
-25.21+25.72+49.25
=25.(-21+72+49)
=25.100
=2500
-25.72+25.21-49.25
=25.(-72+21-49)
=25.(-100)
=-2500
2155-(174+2155)+(68+174)=2155-174-2155+68+174=(2155-2155)+(174-174)+68=68
-25.21+25.72+49.25=25(-21+72+49)=25(51+49)=25.100=2500
-25.72+25.21-49.25=-25(72-21+49)=-25.100=-2500
a: \(5x^5=x^3\)
=>\(5x^5-x^3=0\)
=>\(x^3\left(5x^2-1\right)=0\)
=>\(\left[{}\begin{matrix}x^3=0\\5x^2-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\left(nhận\right)\\x=\dfrac{1}{\sqrt{5}}\left(loại\right)\\x=-\dfrac{1}{\sqrt{5}}\left(loại\right)\end{matrix}\right.\)
b: \(\left(2x-3\right)^3=64\)
=>2x-3=4
=>2x=7
=>\(x=\dfrac{7}{2}\left(loại\right)\)
c: \(\left(5x-1\right)^2=2023^0\cdot7+3^2\)
=>\(\left(5x-1\right)^2=7+9=16\)
=>\(\left[{}\begin{matrix}5x-1=4\\5x-1=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{3}{5}\left(loại\right)\\x=1\left(nhận\right)\end{matrix}\right.\)
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