document.write( "Question 56159: Can you please help me solve this question?\r
\n" ); document.write( "\n" ); document.write( "1+1/x=90/x2\r
\n" ); document.write( "\n" ); document.write( "In words, one plus one over x equals 90 over x squared. \n" ); document.write( "
Algebra.Com's Answer #38093 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1+1/x=90/x2
\n" ); document.write( "In words, one plus one over x equals 90 over x squared
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\n" ); document.write( "1 + \"1%2Fx+=+90%2Fx%5E2\"
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\n" ); document.write( "Mult equation by x^2 and you have:
\n" ); document.write( "x^2 + 1x = 90
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\n" ); document.write( "x^2 + x - 90 = 0; our old friend the quadratic equation
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\n" ); document.write( "Easily factored:
\n" ); document.write( "(x + 10)(x - 9) = 0
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\n" ); document.write( "x = -10 and x = +9
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\n" ); document.write( "Check both solutions in original equation:
\n" ); document.write( "x = -10:
\n" ); document.write( "1 + (1/-10) = 90/(-10)^2
\n" ); document.write( "1 - (1/10) = 90/100
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\n" ); document.write( "x = +9
\n" ); document.write( "1 + 1/9 = 90/9^2
\n" ); document.write( "1 + 1/9 = 90/81
\n" ); document.write( "10/9 = 10/9
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\n" ); document.write( "both solutions check out\r
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