document.write( "Question 927004: Write a quadratic equation with leading coefficient of 1 having as its two roots the numbers obtained by increasing each root of x^2-2x-5 = 0 by the reciprocal of the other.
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Algebra.Com's Answer #562834 by ankor@dixie-net.com(22740)\"\" \"About 
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Write a quadratic equation with leading coefficient of 1 having as its two roots, the numbers obtained by increasing each root of x^2-2x-5 = 0 by the reciprocal of the other.
\n" ); document.write( "Find roots of x^2 - 2x - 5 = 0 using the \"completing the square\" method
\n" ); document.write( "x^2 - 2x + ___ = 5
\n" ); document.write( "Find half of the value of 2 and square it, add to both sides
\n" ); document.write( "x^2 - 2x + 1 = 5 + 1
\n" ); document.write( "(x-1)^2 = 6
\n" ); document.write( "x - 1 = +/- \"sqrt%286%29\"
\n" ); document.write( "two solutions
\n" ); document.write( "x = 1 + \"sqrt%286%29\"
\n" ); document.write( "x = 1 - \"sqrt%286%29\"
\n" ); document.write( "\"Find two roots, obtained by increasing each root of by the reciprocal of the other.\"
\n" ); document.write( "Using a calc
\n" ); document.write( "\"1+%2B+sqrt%286%29\" + \"1%2F%281-sqrt%286%29%29\" = 2.75959
\n" ); document.write( "\"1+-+sqrt%286%29\" + \"1%2F%281%2Bsqrt%286%29%29\" = -1.15959
\n" ); document.write( "FOIL
\n" ); document.write( "(x-2.75959)(x+1.15959) = x^2 + 1.15959x - 2.75959x - 3.20000
\n" ); document.write( "y = x^2 - 1.6x - 3.2, is the equation \n" ); document.write( "
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