document.write( "Question 456027: please help with this math problem: write the quadratic equation that has these complex solutions:(3+-isqrt(13))/2 \n" ); document.write( "

Algebra.Com's Answer #313183 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
write the quadratic equation that has these complex solutions:
\n" ); document.write( " $\"%283+%2B-i%2Asqrt%2813%29%29%2F2\"$
\n" ); document.write( ":
\n" ); document.write( "x = $\"%283+%2B-i%2Asqrt%2813%29%29%2F2\"$
\n" ); document.write( ":
\n" ); document.write( "multiply both sides by 2, get rid of the fraction
\n" ); document.write( "2x = $\"3+%2B-i%2Asqrt%2813%29\"$
\n" ); document.write( ":
\n" ); document.write( "Subtract 3 from both sides
\n" ); document.write( "2x - 3 = +/- $\"i%2Asqrt%2813%29\"$
\n" ); document.write( ";
\n" ); document.write( "Square both sides
\n" ); document.write( "(2x-3)^2 = i^2*13
\n" ); document.write( ":
\n" ); document.write( "Foil the left. i^2 = -1
\n" ); document.write( "4x^2 - 6x - 6x + 9 = -1 * 13
\n" ); document.write( "4x^2 - 12x + 9 = -13
\n" ); document.write( "4x^2 - 12x + 9 + 13 = 0
\n" ); document.write( "4x^2 - 12x + 22 = 0; is the equation
\n" ); document.write( "You can simplify, divide by 2
\n" ); document.write( "2x^2 - 6x + 11 = 0 \n" ); document.write( "

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