document.write( "Question 80893: the sum of a number and four times its reciprocal is -5. what is the number? \n" ); document.write( "

Algebra.Com's Answer #58035 by sofiyacherni(99) $\"\"$ $\"About$

You can put this solution on YOUR website!
there are two solutions
\n" ); document.write( "name your number x, then reciprocal is 1/x
\n" ); document.write( "so x+4/x=-5
\n" ); document.write( "find common denominator
\n" ); document.write( " $\"%28x%5E2%2B4%29%2Fx=-5\"$ cross multiply
\n" ); document.write( " $\"x%5E2%2B4=-5x\"$
\n" ); document.write( " $\"x%5E2%2B5x%2B4=0\"$ you can factor this equation into
\n" ); document.write( "(x+4)(x+1)=0 thus, x+4=0 and x+1=0
\n" ); document.write( "so your two solutions are
\n" ); document.write( "x=-4 and x=-1\r
\n" ); document.write( "\n" ); document.write( "good luck
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