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Ta có :
\(S=2+2^2+.....+2^{100}\)
\(\Rightarrow2S=2^2+2^3+....+2^{101}\)
\(\Rightarrow2S-S=\left(2^2+2^3+.....+2^{101}\right)-\left(2+2^2+....+2^{100}\right)\)
\(\Rightarrow S=2^{101}-2\)
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\(11-\left(3x-1\right)=\frac{9}{2}-\left(5-3,5x\right)\)
\(=>11-3x+1=\frac{9}{2}-5+3,5x\)
\(=>-3x+12=3,5x-\frac{1}{2}\)
\(=>-3x-3,5x=-\frac{1}{2}-12\)
\(=>-6,5x=-12,5\)
\(=>x=\frac{-12,5}{-6,5}=\frac{25}{13}\)
Ủng hộ nha
\(11-\left(3x-1\right)=\frac{9}{2}-\left(5-3,5x\right)\)
\(11-3x+1=\frac{9}{2}-5+3,5x\)
\(12-3x=-\left(0,5\right)+3,5x\)
\(12,5-3x=3,5x\)
\(12,5=6,5x\)
\(x=12,5:6,5=\frac{25}{13}\)
Đặt thừa số chung x.
Ta có:
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+9\right)\Leftrightarrow x+\left(1+2+3+...+9\right)=135\)
\(\Leftrightarrow x+\left(1+2+3+4+5+6+7+8+9\right)\Leftrightarrow x+45=135\)
\(\Rightarrow x=135-45=90\)
Đs:
x * 10 + (1 + 2 + 3 ... +9) = 135
x *10 + 45 =135
x * 10 = 135 - 45
x * 10 = 90
x =90 : 10
x = 9
Vậy x = 9
thử lại:(tự làm)
\(\left(4\frac{46}{65}+x\right).1\frac{1}{12}=5,75\)
\(\Rightarrow\frac{306}{65}+x.\frac{13}{12}=\frac{23}{4}\)
\(\Rightarrow\frac{51}{10}+\frac{13}{12}x=\frac{23}{4}\)
\(\Rightarrow306x=65x=345\)
\(\Rightarrow65x=39\)
\(\Rightarrow x=\frac{3}{5}\)
b, \(\frac{5}{4}-\left(\frac{3}{2}x+0,5\right)=1\frac{1}{4}\)
\(\Rightarrow\frac{5}{4}-\frac{3}{2}x-0,5=\frac{5}{4}\)
\(\Rightarrow\frac{5}{4}-\frac{3}{2}x-\frac{1}{2}=\frac{5}{4}\)
\(\Rightarrow\frac{3}{4}-\frac{3}{2}x=\frac{5}{4}\)
\(\Rightarrow3-6x=5\)
\(\Rightarrow-6x=2\)
\(\Rightarrow x=-\frac{1}{3}\)
Phần b) chị sai nhé ! Dấu [ ] là phần nguyên nâng cao của lớp 6 nhé.
a, \(\left(5x-10\right)\left(6x-\frac{1}{3}\right)=0\\ \Rightarrow\left[{}\begin{matrix}5x-10=0\\6x-\frac{1}{3}=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}5x=10\\6x=\frac{1}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=\frac{1}{18}\end{matrix}\right.\)
Vậy \(x\in\left\{2;\frac{1}{18}\right\}\)
b, \(\frac{-3}{4}-\left|\frac{4}{5}-x\right|=-10\\ \frac{-3}{4}+10=\left|\frac{4}{5}-x\right|\\ \left|\frac{4}{5}-x\right|=\frac{37}{4}\\ \Rightarrow\left[{}\begin{matrix}\frac{4}{5}-x=\frac{37}{4}\\\frac{4}{5}-x=\frac{-37}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{4}{5}-\frac{37}{4}\\x=\frac{4}{5}-\frac{-37}{4}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{-169}{20}\\x=\frac{201}{20}\end{matrix}\right.\)
Vậy \(x\in\left\{\frac{-169}{20};\frac{201}{20}\right\}\)
c, \(\left|5+x\right|-\frac{-2}{3}=3\\ \left|5+x\right|=3+\frac{-2}{3}\\ \left|5+x\right|=\frac{7}{3}\\ \Rightarrow\left[{}\begin{matrix}5+x=\frac{7}{3}\\5+x=\frac{-7}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{7}{3}-5\\x=\frac{-7}{3}-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{-8}{3}\\x=\frac{-22}{3}\end{matrix}\right.\)
Vậy \(x\in\left\{\frac{-8}{3};\frac{-22}{3}\right\}\)
d, Xem lại đề nhé vì không xuất hiện x thì đẳng thức sai.
\(\frac{1}{3}x+\frac{2}{5}x-\frac{2}{5}x=0\)
\(x.\left(\frac{1}{3}+\frac{2}{5}\right)-\frac{2}{5}=0\)
\(x.\frac{11}{15}=0+\frac{2}{5}=\frac{2}{5}\)
\(x=\frac{2}{5}:\frac{11}{15}=\frac{6}{11}\)
A=1+3+32+33+....+370
3A=3+32+33+34+...+371
3A—A=(3+32+33+34+...+371)—(1+3+32+33+...+370)
2A=371—1
A=(371—1):2
Còn lại tự làm...
cảm ơn bạn nhé
bạn cố gắng suy nghĩ để trả lời mấy ý còn lại cho mình nha , mình cảm ơn
Ta có :
\(3.\left(x-2\right)+10^0=5^{100}:5^{58}\)
=> 3 . ( x - 2 ) + 1 = 5100 - 58
=> 3 . ( x - 2 ) + 1 = 542
=> 3.x - 6 + 1 = 542
=> 3.x - 5 = 542
=> 3.x = 542 + 5 = 5.( 541 + 1 )
=> x = \(\frac{5.\left(5^{41}+1\right)}{3}\)
Không tìm được kết quả cụ thể nhak...
3.(x-2)+10^0 =5^100:5^58
3.(x-2)+1=5^42
3x-6+1=5^42
3x-5=5^42
3x=5^42+5
3x=5.(5^41+1)
x=5.(5^41+1)/3
mình cá luôn ( sr mình gi hơi chậm)
Ok@@