2 years ago

Is 3x-22=-3x+8 no solution?

Mathematics

1 answer:

aleksley [76]2 years ago

6 0

It has one solution which is X=5

Hope this helps

Have a great day/night

Feel free to ask any questions

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swat32

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3 years ago

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1 year ago

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I have <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%20%5Cfrac%7B5%7D%7Bx%7D%20" id="TexFormula1" title=

mojhsa [17]

$\bf \cfrac{dx}{dt}=\cfrac{5}{t}\quad ,\quad x(0)=7\to 
\begin{cases}
f(t)=0\\
t=7
\end{cases}\\\\
-----------------------------\\\\
\displaystyle \int \cfrac{5}{t}\cdot dt\implies 5\int \cfrac{1}{t}\cdot dt\implies 5ln|t|+C= f(t)
\\\\\\
\textit{now, we know when f(t)=0, t=7}\implies 5ln|7|+C=0
\\\\\\
C=-5ln(7)
\\\\\\
thus\implies \boxed{5ln|t|-5ln(7)=f(t)=x}$

notice |7| 7 is positive, so we can simply remove the bars and use 7 by itself

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2 years ago