document.write( "Question 1128592: Form a quadratic equations whose roots are 1+ sqrt2 and 1 - sqrt 2. \n" ); document.write( "

Algebra.Com's Answer #745086 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Form a quadratic equations whose roots are 1+ sqrt2 and 1 - sqrt 2.
\n" ); document.write( ":
\n" ); document.write( "x = 1 +/- $\"sqrt%282%29\"$
\n" ); document.write( "x - 1 = +/- $\"sqrt%282%29\"$
\n" ); document.write( "square both side
\n" ); document.write( "(x+1)^2 = 2
\n" ); document.write( "FOIL (x-1)(x-1)
\n" ); document.write( "x^2 - 2x + 1 = 2
\n" ); document.write( "x^2 - 2x + 1 - 2 = 0
\n" ); document.write( "then
\n" ); document.write( "y = x^2 - 2x - 1 = 0 is the quadratic equation \n" ); document.write( "

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