document.write( "Question 262817: (x+(2/x))/(7-(2/x))=6x \n" ); document.write( "

Algebra.Com's Answer #193607 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here is the original problem:
\n" ); document.write( "(i) $\"%28x%2B%282%2Fx%29%29%2F%287-%282%2Fx%29%29=6x\"$
\n" ); document.write( "step 1 - cross multiply to get
\n" ); document.write( "(ii) $\"x%2B+%282%2Fx%29+=+42x+-12\"$
\n" ); document.write( "step 2 - multiply by x to get
\n" ); document.write( "(iii) $\"x%5E2+%2B+2+=+42x%5E2+-+12x\"$
\n" ); document.write( "step 3 - set = 0 to get
\n" ); document.write( "(iv) $\"0+=+41x%5E2+-+12x+-+2\"$
\n" ); document.write( "step 4 - by the quadratic, we get
\n" ); document.write( " $\"x+=+%2812+%2B-+sqrt%28+144-4%2A41%2A%28-2%29+%29%29%2F%2882%29+\"$
\n" ); document.write( "which is
\n" ); document.write( " $\"x+=+%2812+%2B-+sqrt%28+472%29%29%2F%2882%29+\"$
\n" ); document.write( "and then
\n" ); document.write( " $\"x+=+%2812+%2B-+2sqrt%28+118%29%29%2F%2882%29+\"$
\n" ); document.write( "and reducing, we get
\n" ); document.write( " $\"x+=+%286+%2B-+sqrt%28+118%29%29%2F%2841%29+\"$ \n" ); document.write( "

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