document.write( "Question 707247: which quadratic equation has the roots 2-radical 3 and 2 + radical 3?
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Algebra.Com's Answer #435633 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! which quadratic equation has the roots 2-radical 3 and 2 + radical 3? \n" ); document.write( "** \n" ); document.write( "[x-(2-√3)][(x-(2+√3)]=0 \n" ); document.write( "FOIL \n" ); document.write( "x^2-(2-√3)x-(2+√3)x+(2-√3)(2+√3) \n" ); document.write( "x^2+(-2+√3-2-√3)x+(4-3) \n" ); document.write( "x^2-4x+1=0 \n" ); document.write( "Check with quadratic formula: \n" ); document.write( "a=1, b=-4, c=1 \n" ); document.write( "x=[-b±√(b^2-4ac)]/2a \n" ); document.write( "x=[4±√(16-4*1*1)]/2*1 \n" ); document.write( "x=[4±√(12)]/2 \n" ); document.write( "x=[4±2√(3)]/2 \n" ); document.write( "x=2±√3 \n" ); document.write( " |