document.write( "Question 202787: Hi Can someone please help me with this one;\r
\n" ); document.write( "\n" ); document.write( "983.77 = 1000/(1 + x * 1/2)
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Algebra.Com's Answer #152952 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
To solve for x we need to isolate it. IOW get it by itself.
\n" ); document.write( "First we will get it out of the denominator by multiplying both sides by that denominator:
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\n" ); document.write( "This gives:
\n" ); document.write( "\"983.77+%2B+491.885x+=+1000\"
\n" ); document.write( "Next we'll subtract 983.77 fropm both sides:
\n" ); document.write( "\"491.885x+=+16.23\"
\n" ); document.write( "Next we will divide both sides by 491.885:
\n" ); document.write( "\"x+=+%2816.23%29%2F%28491.885%29+=+0.0329955172448845\"

\n" ); document.write( "Since the above answer looks so unusual I wonder if the problem was supposed to be:
\n" ); document.write( "\"983.77+=+1000%2F%281+%2B+sqrt%28x%29%29\"
\n" ); document.write( "To solve this we will start with similar steps. Multiply to eliminate the fraction:
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\n" ); document.write( "giving
\n" ); document.write( "\"983.77+%2B+983.77sqrt%28x%29+=+1000\"
\n" ); document.write( "Subtract 983.77
\n" ); document.write( "\"983.77sqrt%28x%29+=+16.23\"
\n" ); document.write( "Divide by 983.77
\n" ); document.write( "\"sqrt%28x%29+=+%2816.23%29%2F%28983.77%29+=+0.0164977586224422\"
\n" ); document.write( "And finally square both sides:
\n" ); document.write( "\"%28sqrt%28x%29%29%5E2+=+%280.0164977586224422%29%5E2\"
\n" ); document.write( "\"x+=+0.0002721760395644\"
\n" ); document.write( "Also an unusual answer. Either one of these answers is correct or I have misunderstood the problem. If I misunderstood please repost:
  • Use \"^\" to indicate exponents. Like x^2 means \"x squared\" or x^(1/2) means \"square root of x\"
  • Use \"*\" for multiplication
  • Use parentheses freely to ensure that the problem can be correctly interpreted.
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