document.write( "Question 46979: Solve the equation.\r
\n" ); document.write( "\n" ); document.write( " $\"%28k%29%2F%287-k%29-%282%29%2F%28k%29=3\"$ \n" ); document.write( "

Algebra.Com's Answer #31153 by tutorcecilia(2152) $\"\"$ $\"About$

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$\"%28k%29%2F%287-k%29-%282%29%2F%28k%29=3\"$ [Find the lowest common denominator (LCD) = (7-k)(k)]
\n" ); document.write( " $\"%28k%29%287-k%29%28k%29%2F%287-k%29-%282%29%287-k%29%28k%29%2F%28k%29=3%287-k%29%28k%29%29\"$ [Multiply terms by the LCD]
\n" ); document.write( " $\"%28%28k%29%28k%29%29-%28%282%29%287-k%29%29=3%287-k%29%28k%29%29%29\"$ [Cancel out]
\n" ); document.write( " $\"%28%28k%5E2%29%29-%28%2814-2k%29%29=%28%2821k-3k%5E2%29%29%29%29\"$ [Multiply]
\n" ); document.write( " $\"%28%28k%5E2%29%29-%28%2814-2k%29%29=%28%2821k-3k%5E2%29%29%29%29\"$ [Subtract the left side]
\n" ); document.write( " $\"%28%28k%5E2%2B3k%5E2%29-14%2B2k-21k%29\"$
\n" ); document.write( " $\"%28%284k%5E2-14-19k%29%29%29%29\"$ [Combine like-terms]
\n" ); document.write( " $\"%28%284k%5E2-19k-14%29%29%29%29\"$ [Rearrange the terms]\r
\n" ); document.write( "\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " $\"x=%28--19+%2B-+sqrt%28+%28-19%5E2%29-%284%29%284%29%28-14%29+%29%29%2F%28%282%29%284%29%29\"$ [Plug into the quadratic formula]
\n" ); document.write( " $\"x=%2819+%2B-+sqrt%28+%28585%29+%29%29%2F%28%288%29%29\"$ [Plug into the quadratic formula]
\n" ); document.write( " $\"x=%2819+%2B-+sqrt%28+%289%29%2865%29+%29%29%2F%28%288%29%29\"$
\n" ); document.write( " $\"x=%2819+%2B-+3sqrt%28%2865%29+%29%29%2F%28%288%29%29\"$
\n" ); document.write( "x=5.398
\n" ); document.write( "x=-0.6483
\n" ); document.write( " \n" ); document.write( "

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