tìm x
2+4+6+...+x=2500
ai làm giúp cho 6 tk
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\(\left(x+4\right)+\left(x+6\right)+\left(x+8\right)+...+\left(x+26\right)=210\)
Các số hạng trên có :
\(\left(26-4\right)\div2+1=12\)số hạng
Vậy dãy trên có 12 số \(x\)
Tổng của các số \(4+6+8+10+...+26\)là :
\(\frac{\left(26+4\right)\times12}{2}=180\)
\(\Rightarrow\)Tổng của 12 chữ số \(x\)là :
\(210-180=30\)
\(\Rightarrow x=30\div12=2,5\)
Đ/S : 2,5
\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(\Leftrightarrow\frac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{13}.3^{13}-2^{11}.3^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.2^{12}-2^{11}.2^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}.\left(1+5\right)}{6^{12}-6^{11}}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}.6}{6^{11}.\left(6-1\right)}\)
\(\Leftrightarrow\frac{2^{12}.3^{10}.2.3}{6^{11}.\left(6-1\right)}\)
\(\Leftrightarrow\frac{2^{13}.3^{11}}{6^{11}.5}\)
\(\Leftrightarrow\frac{2^{11}.3^{11}.2^2}{6^{11}.5}\)
\(\Leftrightarrow\frac{6^{11}.4}{6^{11}.5}\Leftrightarrow\frac{4}{5}\)
\(5\frac{4}{7}\) + ( x-2 ) x 1/3 = \(17\frac{3}{4}\)
39/7 + ( x- 2 ) x 1/3 = 71/4
( x -2 ) x 1/3 = 71/4 - 39/7
( x -2 ) x 1/3 = 341/28
x - 2 = 341/28 : 1/3
x -2 = 341/28 x 3
x -2 = 1023/28
x = 1023/28 + 2
x = 1079/28
P/s : số lớn tek!?
Cbht!!!!!
\(\frac{\frac{5}{4}}{7}+\left(x-2\right)\times\frac{1}{3}=\frac{\frac{17}{3}}{4}\)
\(\frac{35}{4}+\left(x-2\right)\times\frac{1}{3}=\frac{68}{3}\)
\(\frac{35}{4}+\left(x-2\right)=68\)
\(x-2=68-8,75\)
\(x-2=59,25\)
\(x=59,25+2\)
\(x=61,25\)
5/4/7 + ( x - 2 ) x 1/ 3 = 17 / 3 / 4
35/4 + ( x - 2 ) x 1/3 = 68/3
( x -2 ) x 1/3 = 68/3 - 35/4
( x-2 ) x 1/3 = 167 / 12
x - 2 = 167 / 12 : 1/ 3
x -2 = 167 / 4
x = 167 / 4 + 2
x = 175/4 .
(2,5x - 4/3)2 - 5/6 = -7/18
=> (2,5x - 4/3)2 = -7/18 + 5/6
=> (2,5x - 4/3)2 = 4/9
=> (2,5x - 4/3)2 = (2/3)2
=> \(\orbr{\begin{cases}2,5x-\frac{4}{3}=\frac{2}{3}\\2,5x-\frac{4}{3}=-\frac{2}{3}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{4}{5}\\x=\frac{4}{15}\end{cases}}\)
\(\left(2,5x-\frac{4}{3}\right)^2-\frac{5}{6}=-\frac{7}{18}\)
\(\left(2,5x-\frac{4}{3}\right)^2=-\frac{7}{18}+\frac{5}{6}\)
\(\left(2,5x-\frac{4}{3}\right)^2=\frac{4}{9}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{4}{5}\\x=\frac{4}{15}\end{cases}}\)
1: \(\Leftrightarrow\left(x-1\right)^x\cdot\left(x-1\right)^2-\left(x-1\right)^x=0\)
=>\(\left(x-1\right)^x\cdot\left[\left(x-1\right)^2-1\right]=0\)
=>\(x\left(x-1-1\right)\cdot\left(x-1\right)^x=0\)
=>x(x-2)(x-1)^x=0
=>x=0;x=2;x=1
2: \(\Leftrightarrow\left(6-x\right)^{2003}\left(x-1\right)=0\)
=>6-x=0 hoặc x-1=0
=>x=6;x=1
3: =>(7x-11)^3=32*25+200=1000
=>7x-11=10
=>7x=21
=>x=3
4: =>x^2-1=-3 hoặc x^2-1=3
=>x^2=-2(loại) hoặc x^2=4
=>x=2 hoặc x=-2
a: Ta có: \(2x\left(x-3\right)+x-3=0\)
\(\Leftrightarrow\left(x-3\right)\left(2x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-\dfrac{1}{2}\end{matrix}\right.\)
b: Ta có: \(x^2\left(x-6\right)-x^2+36=0\)
\(\Leftrightarrow\left(x-6\right)\left(x^2-x-6\right)=0\)
\(\Leftrightarrow\left(x-6\right)\left(x-3\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=6\\x=3\\x=-2\end{matrix}\right.\)
X = 100
đứa nào tk tao sai , gọi cả lò nhà mày ra đây guếnh nhau . tao chấp một mắt