document.write( "Question 176562: Solve 1/x + 1/x+5 = 3/4 \n" ); document.write( "

Algebra.Com's Answer #131715 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve $\"1%2Fx\"$ + $\"1%2F%28x%2B5%29\"$ = $\"3%2F4\"$
\n" ); document.write( "mult eq by common denominator, 4x(x+5)
\n" ); document.write( "4x(x+5)* $\"1%2Fx\"$ + 4x(x+5)* $\"1%2F%28x%2B5%29\"$ = 4x(x+5)* $\"3%2F4\"$
\n" ); document.write( "cancel out the denominators
\n" ); document.write( "4(x+5) + 4x = 3x(x+5)
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\n" ); document.write( "4x + 20 + 4x = 3x^2 + 15x
\n" ); document.write( ":
\n" ); document.write( "8x + 20 = 3x^2 + 15x
\n" ); document.write( ";
\n" ); document.write( "0 = 3x^2 + 15x - 8x - 20
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\n" ); document.write( "3x^2 + 7x - 20 = 0; a quadratic eq
\n" ); document.write( "factor this to
\n" ); document.write( "(3x - 5)(x + 4) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "3x = 5
\n" ); document.write( ";
\n" ); document.write( "x = $\"5%2F3\"$
\n" ); document.write( "and
\n" ); document.write( "x = -4
\n" ); document.write( ":
\n" ); document.write( "check both solutions in original eq \n" ); document.write( "

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