document.write( "Question 1014684: \n" ); document.write( "

Algebra.Com's Answer #631007 by skippo(9) $\"\"$ $\"About$

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Solve using factoring, completing the square, or the quadratic formula.
\n" ); document.write( " $\"s%5E2%2B3s%2B5\"$
\n" ); document.write( "Enter the exact answers in increasing order.
\n" ); document.write( "using method of completing the square
\n" ); document.write( " $\"s%5E2%2B3s%2B5=+0\"$
\n" ); document.write( " $\"s%5E2%2B3s\"$ = -5
\n" ); document.write( "add $\"%283%2F2%29%5E2\"$ to both sides
\n" ); document.write( " $\"s%5E2%2B3s%2B%283%2F2%29%5E2\"$ = $\"-5%2B%283%2F2%29%5E2\"$
\n" ); document.write( " $\"s%5E2%2B3s%2B%283%2F2%29%5E2\"$ = -5 + $\"9%2F4\"$
\n" ); document.write( " $\"s%5E2%2B3s%2B%283%2F2%29%5E2\"$ = $\"-11%2F4\"$
\n" ); document.write( " $\"%28s%2B3%2F2%29%5E2\"$ = $\"-11%2F4\"$
\n" ); document.write( " $\"s%2B3%2F2\"$ = +- $\"sqrt%28-11%2F4%29\"$
\n" ); document.write( " $\"s%2B3%2F2\"$ = +- $\"sqrt%28-11%29%2F2\"$
\n" ); document.write( "since $\"sqrt%28-1%29\"$ = i
\n" ); document.write( " $\"s%2B3%2F2\"$ = +- $\"%28i%2Asqrt%2811%29%29%2F2\"$
\n" ); document.write( "s = $\"-%28i%2Asqrt%2811%29%29%2F2+-+%283%2F2%29\"$ or $\"%28i%2Asqrt%2811%29%29%2F2+-+3%2F2\"$
\n" ); document.write( "s = $\"-%28i%2Asqrt%2811%29%2B3%29%2F2\"$ or $\"%28i%2Asqrt%2811%29-+3%29%2F2\"$
\n" ); document.write( " \n" ); document.write( "

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