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In the equation \({x}^{2}+mx+n=0\)\(m\) and \(n\) are integers.  The only possible value for \(x\) is \(-3\).  What is the value of m?  Please show your work.

 Jan 22, 2016

Best Answer 

 #1
avatar+33659 
+10

If we have

 

\((x+3)^2=0\)

 

then the only value for x is -3

 

Now \((x+3)^2\rightarrow x^2+6x+9\)

 

so m is 6 (and n is 9)

.

 Jan 22, 2016
 #1
avatar+33659 
+10
Best Answer

If we have

 

\((x+3)^2=0\)

 

then the only value for x is -3

 

Now \((x+3)^2\rightarrow x^2+6x+9\)

 

so m is 6 (and n is 9)

.

Alan Jan 22, 2016

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