document.write( "Question 484289: twice the reciprocal of a certain number when added to 3 is equal to the number with its sign is changed. what is the number? \n" ); document.write( "
Algebra.Com's Answer #331359 by ankor@dixie-net.com(22740)\"\" \"About 
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Let x = \"the number\"
\n" ); document.write( ":
\n" ); document.write( "twice the reciprocal of a certain number when added to 3 is equal to the number with its sign is changed.
\n" ); document.write( "2(\"1%2Fx\") + 3 = -x
\n" ); document.write( ":
\n" ); document.write( "\"2%2Fx\" + 3 = -x
\n" ); document.write( "multiply both sides by x
\n" ); document.write( "2 + 3x = -x^2
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 + 3x + 2 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+2)(x+1) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x = -2
\n" ); document.write( "x = -1
\n" ); document.write( "Check both solution in the original statement \n" ); document.write( "
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