document.write( "Question 422034: I'm homeschooled, and I've been working on this problem for a long time. My mother gave me the answer, but I can't seem to work the steps out.\r
\n" ); document.write( "\n" ); document.write( "The question is:
\n" ); document.write( "What are the solutions to the equation 1 + (1/x^2) = (3/x).\r
\n" ); document.write( "\n" ); document.write( "The answer is:
\n" ); document.write( "x = (3/2) + ((sqrt 5)/2); x = (3/2) - ((sqrt5)/2) \n" ); document.write( "
Algebra.Com's Answer #294617 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
What are the solutions to the equation 1 + (1/x^2) = (3/x).
\n" ); document.write( "Multiply thru by x^2 to get rid of the denominators:
\n" ); document.write( "x^2 + 1 = 3x
\n" ); document.write( "---
\n" ); document.write( "Rearrange:
\n" ); document.write( "x^2-3x+1 = 0
\n" ); document.write( "-----
\n" ); document.write( "Use the quadratic formula to get:
\n" ); document.write( "x = [3 +- sqrt(9-4*1)]/2
\n" ); document.write( "---
\n" ); document.write( "x = [3 +- sqrt(5)]/2
\n" ); document.write( "===
\n" ); document.write( "x = (3/2)+(1/2)sqrt(5) or x = (3/2)-(1/2)sqrt(5)
\n" ); document.write( "===================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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