document.write( "Question 324816: Find a quadratic equation having 3 ą √3 as roots. \n" ); document.write( "

Algebra.Com's Answer #232565 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find a quadratic equation having 3 ą √3 as roots.
\n" ); document.write( ":
\n" ); document.write( "x = $\"3+%2B-sqrt%283%29\"$
\n" ); document.write( "Subtract 3 from both sides
\n" ); document.write( "x - 3 = +/- $\"sqrt%283%29\"$
\n" ); document.write( "Square both sides
\n" ); document.write( "(x - 3)^2 = 3
\n" ); document.write( "FOIL (x-3)(x-3)
\n" ); document.write( "x^2 - 6x + 9 = 3
\n" ); document.write( "Subtract 3 from both sides
\n" ); document.write( "x^2 - 6x + 9 - 3 = 0
\n" ); document.write( "x^2 - 6x + 6 = 0
\n" ); document.write( ":
\n" ); document.write( "y = x^2 - 6x + 6 is the equation \n" ); document.write( "

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