document.write( "Question 663668: find a quadratic equation having the given roots.\r
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document.write( "{1/4-sqrt(-5)/4, 1/4+ sqrt(-5)/4}\r
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document.write( "the 4 is not under the radical sign.
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document.write( "in the book it shows 1+i sqrt5 and 1-i sqrt5 all divided by 4\r
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document.write( "I had an answer on another site of: \r
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document.write( " -a = Sum of roots
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document.write( " b = Product of roots.\r
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document.write( " So in this case,
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document.write( " a = -1/4
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document.write( " b = 6/4 = 3/2\r
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document.write( " Therefore the equation is x2 - x/4 + 3/2 = 0
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document.write( "But when I put this in a quadric equation solver it is not correct. I get a=-1/2 but that doesn't work either.
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document.write( "Thank you!\r
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Algebra.Com's Answer #412880 by lynnlo(4176)![]() ![]() ![]() You can put this solution on YOUR website! x=1+i√23/2 \n" ); document.write( " |