document.write( "Question 990944: i need help with this (1/x)+(1/x+2)=(1/3)\r
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\n" ); document.write( "\n" ); document.write( "to this 2+sqrt10 and 2-sqrt10\r
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Algebra.Com's Answer #610903 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
(1/x) + (1/x+2) = (1/3)
\n" ); document.write( "(x+2+x) / (x*(x+2)) = (1/3)
\n" ); document.write( "(2x+2) / (x^2+2x) = (1/3)
\n" ); document.write( "cross multiply the fractions
\n" ); document.write( "3*(2x+2) = x^2 + 2x
\n" ); document.write( "6x+6 = x^2 + 2x
\n" ); document.write( "x^2 - 4x - 6 = 0
\n" ); document.write( "use quadratic equation
\n" ); document.write( "x = (4 + square root(16-4*(-6))) / 2 = (4+2sqrt(10))/2 = 2+sqrt(10)
\n" ); document.write( "x = (4 - square root(16-4*(-6))) / 2 = (4-2sqrt(10))/2 = 2-sqrt(10)\r
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