document.write( "Question 287802: 3/(x+1) +4/(x-2)=(px+q)/(x+1)(x-2)
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Algebra.Com's Answer #854244 by KMST(5377) $\"\"$ $\"About$

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If $\"3%2F%28x%2B1%29%2B4%2F%28x-2%29=%28px%2Bq%29%2F%28x%2B1%29%28x-2%29\"$ must be true for every value of $\"x\"$ ,
\n" ); document.write( "it will be true for $\"x=0\"$ and for $\"x=1\"$ .
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\n" ); document.write( "For $\"x=0\"$ :
\n" ); document.write( " $\"3%2F%280%2B1%29%2B4%2F%280-2%29=%28px%2Bq%29%2F%280%2B1%29%280-2%29\"$
\n" ); document.write( " $\"3%2F1%2B4%2F%28-2%29=%28p%2A0%2Bq%29%2F%281%28-2%29%29\"$
\n" ); document.write( " $\"3%2B%28-2%29=q%2F%28-2%29\"$
\n" ); document.write( "Multiplying times $\"%28-2%29\"$ we get
\n" ); document.write( " $\"3%28-2%29%2B%28-2%29%28-2%29=q\"$ --> $\"-6%2B4=q\"$ --> $\"highlight%28q=-2%29\"$
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\n" ); document.write( "For $\"x=1\"$ :
\n" ); document.write( " $\"3%2F%281%2B1%29%2B4%2F%281-2%29=%28p%2A1-2%29%2F%281%2B1%29%281-2%29\"$
\n" ); document.write( " $\"3%2F2%2B4%2F%28-1%29=%28p-2%29%2F%282%28-1%29%29\"$
\n" ); document.write( " $\"3%2F2-4=%28p-2%29%2F%28-2%29\"$
\n" ); document.write( " $\"3%2F2-4=%28p-2%29%2F%28-2%29\"$
\n" ); document.write( "Multiplying times $\"%28-2%29\"$ we get
\n" ); document.write( " $\"%283%2F2%29%28-2%29-4%28-2%29=p-2\"$
\n" ); document.write( " $\"-3%2B8=p-2\"$
\n" ); document.write( " $\"8-3%2B2=p\"$ --> $\"highlight%28p=7%29\"$ \n" ); document.write( "

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