document.write( "Question 986686: Determine the coordinates of the turning points and conclude the maximum turning point of the equation y= (x^2 -3)(x+3) \n" ); document.write( "

Algebra.Com's Answer #607492 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=%28x%5E2-3%29%28x%2B3%29\"$
\n" ); document.write( " $\"y=x%5E3%2B3x%5E2-3x-9\"$
\n" ); document.write( "Taking the derivative,
\n" ); document.write( " $\"dy%2Fdx=3x%5E2%2B6x-3=3%28x%5E2-2x-1%29\"$
\n" ); document.write( "Setting it equal to zero to solve for the extrema,
\n" ); document.write( " $\"x%5E2-2x-1=0\"$
\n" ); document.write( " $\"%28x%5E2-2x%2B1%29-1=1\"$
\n" ); document.write( " $\"%28x-1%29%5E2=2\"$
\n" ); document.write( " $\"x-1=0+%2B-+sqrt%282%29\"$
\n" ); document.write( " $\"x=1+%2B-+sqrt%282%29\"$
\n" ); document.write( "So when $\"x=1-sqrt%282%29\"$ , $\"y=4+%2B+8sqrt%282%29\"$
\n" ); document.write( "and when $\"x=1%2Bsqrt%282%29\"$ , $\"y=4+-+8sqrt%282%29\"$
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