document.write( "Question 1135796: Twice a number +3 times it’s reciprocal is seven. Find the number \n" ); document.write( "

Algebra.Com's Answer #753472 by MathLover1(20850) $\"\"$ $\"About$

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let a number be $\"x\"$
\n" ); document.write( "then it’s reciprocal is $\"1%2Fx\"$ \r
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\n" ); document.write( "\n" ); document.write( "Twice a number: $\"2x\"$ \r
\n" ); document.write( "\n" ); document.write( " +3 times it’s reciprocal: $\"2x%2B3%281%2Fx%29\"$ \r
\n" ); document.write( "\n" ); document.write( " is seven: $\"2x%2B3%281%2Fx%29=7\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2x%2B3%281%2Fx%29=7\"$ ............solve for $\"x\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2x%2B3%2Fx=7\"$ ........both sides multiply by $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2%2B3=7x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2-7x%2B3=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2-x-6x%2B3=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%282x%5E2-x%29-%286x-3%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%282x-1%29-3%282x-1%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x+-+3%29+%282+x+-+1%29+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"x=3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=1%2F2\"$ \r
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