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mathmath333
 one year ago
\(\large \color{black}{\begin{align} &\text{Find the number of integer values } \hspace{.33em}\\~\\
&\dfrac{15x^2+2x+1}{x^22x1}\hspace{.33em}\\~\\
&\text{doesn't satisfy } \hspace{.33em}\\~\\
\end{align}}\)
mathmath333
 one year ago
\(\large \color{black}{\begin{align} &\text{Find the number of integer values } \hspace{.33em}\\~\\ &\dfrac{15x^2+2x+1}{x^22x1}\hspace{.33em}\\~\\ &\text{doesn't satisfy } \hspace{.33em}\\~\\ \end{align}}\)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hi math, Does that mean the number of integer values, which can not be written in the form:\[\dfrac{15x^2+2x+1}{x^22x1}\]?

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1i mean the number of integer values the expression \(\dfrac{15x^2+2x+1}{x^22x1}\) not take

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0aha that's right, so we just need to find the range of function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[y=\dfrac{15x^2+2x+1}{x^22x1}\]find \(x\) in terms of \(y\), find the domain of inverse

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1what u mean by x interms of y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0solve the equation . and deal with y as a parameter

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Separate x i.e. find x = ? and replace y with x afterwards.

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1u mean this http://www.wolframalpha.com/input/?i=solve+y%3D%5Cdfrac%7B15x%5E2%2B2x%2B1%7D%7Bx%5E22x1%7D+for+x

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Following mukushla's hint \[\large y=\dfrac{15x^2+2x+1}{x^22x1}\] cross multiplying and rearranging gives \[\large (15y)\color{red}{x^2}+(2+2y)\color{red}{x}+y+1 = 0\] This is a quadratic in \(\color{red}{x}\) you may use the discriminant to find the domain

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1from this > (2+2y)^24(15y)(y+1)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Ohk.. Notice that \(D \ge 0\) for the quadratic equation to make sense in real numbers

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2those are the values the given rational expression ever takes

mathmath333
 one year ago
Best ResponseYou've already chosen the best response.1is infinite numbers answer

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2answer should be {0,1,2,3,4,5,6}

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no but these numbers satisfy the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what on earth the question says does not satisfy??

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434277279587:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The directions could be more clear. This might be better. "What integer values does the expression not attain. " or "What integer values does the function not attain. "
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