Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\left(x+2\right)+\left(x+12\right)+\left(x+42\right)+\left(x+47\right)=655\)
\(x+2+x+12+x+42+x+47=655\)
\(4x+\left(2+12+42+57\right)=655\)
\(4x+103=655\)
\(4x=655-103\)
\(4x=552\)
\(x=552:4\)
\(x=138\)
Ta có :
\(\frac{x-2}{12}+\frac{x-2}{20}+\frac{x-2}{30}+\frac{x-2}{42}+\frac{x-2}{56}+\frac{x-2}{72}=\frac{16}{9}\)
\(\Leftrightarrow\)\(\left(x-2\right)\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)=\frac{16}{9}\)
\(\Leftrightarrow\)\(\left(x-2\right)\left(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}\right)=\frac{16}{9}\)
\(\Leftrightarrow\)\(\left(x-2\right)\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)=\frac{16}{9}\)
\(\Leftrightarrow\)\(\left(x-2\right)\left(\frac{1}{3}-\frac{1}{9}\right)=\frac{16}{9}\)
\(\Leftrightarrow\)\(\left(x-2\right).\frac{2}{9}=\frac{16}{9}\)
\(\Leftrightarrow\)\(x-2=\frac{16}{9}:\frac{2}{9}\)
\(\Leftrightarrow\)\(x-2=\frac{16}{9}.\frac{9}{2}\)
\(\Leftrightarrow\)\(x-2=\frac{8}{1}.\frac{1}{1}\)
\(\Leftrightarrow\)\(x-2=8\)
\(\Leftrightarrow\)\(x=8+2\)
\(\Leftrightarrow\)\(x=10\)
Vậy \(x=10\)
Chúc bạn học tốt ~
a) ( 5x - 15) .37 =74
5x - 15= 74 : 37
5x - 15 = 2
5x = 2 + 15
5x = 17
x = 17: 5
x= \(\frac{17}{5}\)
\(a.\left(x-37\right).25=0\\\Leftrightarrow x-27=0\\ \Leftrightarrow x=27\)
\(b.\left(x-42\right)\left(x-21\right)=0\\ \Leftrightarrow\orbr{\begin{cases}x-42=0\\x-21=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=42\\x=21\end{cases}}}\)
42 - (2x + 32) + 12 = 6.2
42 - (2x + 32) + 12 = 12
42 - (2x + 32 ) = 12 - 12
42 - (2x + 32) = 0
2x + 32 = 42 - 0
2x + 32 = 42
2x = 42 - 32
2x = 10
=> x = 10 : 2
=> x = 5