document.write( "Question 978758: Pleas help out: if the root of the equation $\"4x%5E2+-8x++%2B++3+=0\"$ are A and B, form the equation whose roots are $\"%28A+++%2B++1%2FB%29+and+%28B+++%2B++1%2FA%29\"$ \n" ); document.write( "

Algebra.Com's Answer #600125 by Fombitz(32388) $\"\"$ $\"About$

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$\"4x%5E2-8x%2B3=0\"$
\n" ); document.write( " $\"4%28x%5E2-2x%29%2B3=0\"$
\n" ); document.write( " $\"4%28x%5E2-2x%2B1%29%2B3-4%281%29=0\"$
\n" ); document.write( " $\"4%28x-1%29%5E2-1=0\"$
\n" ); document.write( " $\"4%28x-1%29%5E2=1\"$
\n" ); document.write( " $\"%28x-1%29%5E2=1%2F4\"$
\n" ); document.write( " $\"x-1=0+%2B-+1%2F2\"$
\n" ); document.write( " $\"x=1+%2B-+1%2F2\"$
\n" ); document.write( " $\"A=3%2F2\"$ , $\"B=1%2F2\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"A%2B1%2FB=3%2F2%2B2=7%2F2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"B%2B1%2FA=1%2F2%2B2%2F3=3%2F6%2B4%2F6=7%2F6\"$
\n" ); document.write( "and
\n" ); document.write( " $\"f%28x%29=%28x-5%2F2%29%28x-7%2F6%29\"$
\n" ); document.write( " $\"f%28x%29=a%282x-7%29%286x-7%29\"$
\n" ); document.write( " $\"f%28x%29=a%2812x%5E2-56x%2B49%29\"$
\n" ); document.write( "where $\"a\"$ is any non-zero constant \n" ); document.write( "

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