document.write( "Question 82454: Ok I am studing for an exam and need help on a couple probelms. Please help! Thank you
\n" ); document.write( "#1 Perform the indicated operation and simplify:
\n" ); document.write( "2x/x^2-4 +5/2-x -1/2+x\r
\n" ); document.write( "\n" ); document.write( "#2 Solve
\n" ); document.write( "2+7/x=4/x^2
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Algebra.Com's Answer #59089 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
#1 Perform the indicated operation and simplify:
\n" ); document.write( "2x/x^2-4 +5/2-x -1/2+x
\n" ); document.write( "\"2x%2F%28%28x%5E2-4%29%29+%2B++5%2F%28%282-x%29%29+-+1%2F%28%282%2Bx%29%29\"
\n" ); document.write( ":
\n" ); document.write( "4\"2x%2F%28%28x-2%29%28x%2B2%29%29+%2B++5%2F%28%282-x%29%29+-+1%2F%28%282%2Bx%29%29\"; Factored x^2 - 4
\n" ); document.write( ":
\n" ); document.write( "\"2x%2F%28%28x-2%29%28x%2B2%29%29+%2B++5%2F%28-1%28x-2%29%29+-+1%2F%28%28x%2B2%29%29\"; converted 2-x to x-2 with -1
\n" ); document.write( ":
\n" ); document.write( "\"2x%2F%28%28x-2%29%28x%2B2%29%29+-++5%2F%28%28x-2%29%29+-+1%2F%28%28x%2B2%29%29\"; -1 changes the sign
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\n" ); document.write( "\"%282x+-+5%28x%2B2%29+-+1%28x-2%29%29%2F%28%28x-2%29%28x%2B2%29%29\"; put all over one denominator
\n" ); document.write( ":
\n" ); document.write( "\"%282x+-+5x+-+10+-+x+%2B+2%29%2F%28%28x-2%29%28x%2B2%29%29\" = \"%28-+4x+-+8%29%2F%28%28x-2%29%28x%2B2%29%29\" = \"%28-4%28x+%2B+2%29%29%2F%28%28x-2%29%28x%2B2%29%29\" = \"-4%2F%28%28x-2%29%29\"
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\n" ); document.write( "#2 Solve
\n" ); document.write( "\"2+%2B+%287%2Fx%29+=+4%2Fx%5E2\"
\n" ); document.write( ":
\n" ); document.write( "\"2x%5E2+%2B+7x+=+4\"; multiplied equation by x^2
\n" ); document.write( ":
\n" ); document.write( "\"2x%5E2+%2B+7x+-+4\" = 0
\n" ); document.write( ":
\n" ); document.write( "(2x-1)(x+4) = 0
\n" ); document.write( ":
\n" ); document.write( "2x = +1
\n" ); document.write( "x = +1/2
\n" ); document.write( "and
\n" ); document.write( "x = -4
\n" ); document.write( ":
\n" ); document.write( "Check both solutions by substituting in original equation
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