document.write( "Question 1159736: complete the square to find the equation of the parabola in the problem y=x²+6x+11 \n" ); document.write( "

Algebra.Com's Answer #782796 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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complete the square to find the equation of the parabola in the problem
\n" ); document.write( "y = x² + 6x + 11
\n" ); document.write( "x^2 + 6x + __ = -11
\n" ); document.write( "to complete the square, half the coefficient of x and square it > 3^2
\n" ); document.write( "add 9 to both sides
\n" ); document.write( "x^2 + 6x + 9 = -11 + 9
\n" ); document.write( "Factor
\n" ); document.write( "(x+3)^2 = -2
\n" ); document.write( "The square root of both sides
\n" ); document.write( "x + 3 = +/- $\"sqrt%28-2%29\"$
\n" ); document.write( "extract the square root of -1 which is i
\n" ); document.write( "x + 3 = +/- $\"i%2Asqrt%282%29\"$
\n" ); document.write( "two solutions
\n" ); document.write( "x = -3 - $\"i%2Asqrt%282%29\"$
\n" ); document.write( "and
\n" ); document.write( "x = -3 + $\"i%2Asqrt%282%29\"$ \n" ); document.write( "

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