document.write( "Question 446765: the sum of a number & its reciprocal is 13/6. find the number \n" ); document.write( "

Algebra.Com's Answer #307662 by mananth(16946) $\"\"$ $\"About$

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x+1/x=13/6
\n" ); document.write( "multiply by x
\n" ); document.write( "(x^2+1)= 13x/6
\n" ); document.write( "6(x^2+1)=13x
\n" ); document.write( "6x^2+6=13x
\n" ); document.write( "6x^2-13x+6=0
\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 6 b= -13 c= 6
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\n" ); document.write( "b^2-4ac= 169-144
\n" ); document.write( "b^2-4ac= 25
\n" ); document.write( "sqrt(25)=5
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "x1=(13+5 )/12
\n" ); document.write( "x1=1.5
\n" ); document.write( "...
\n" ); document.write( "x2=(13-5 )/12
\n" ); document.write( "x2= 0.67
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