document.write( "Question 343922: Directions only said SOlve:\r
\n" ); document.write( "\n" ); document.write( "(x^2 -2x)^2 -11(x^2 -2x) +24=0 \n" ); document.write( "

Algebra.Com's Answer #246024 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution, $\"u=x%5E2-2x\"$
\n" ); document.write( " $\"%28x%5E2+-2x%29%5E2+-11%28x%5E2+-2x%29+%2B24=0\"$
\n" ); document.write( " $\"u%5E2+-11u%2B24=0\"$
\n" ); document.write( " $\"%28u-8%29%28u-3%29=0\"$
\n" ); document.write( "Two solutions in $\"u\"$ :
\n" ); document.write( " $\"u-8=0\"$
\n" ); document.write( " $\"u=8\"$
\n" ); document.write( " $\"x%5E2-2x=8\"$
\n" ); document.write( " $\"x%5E2-2x-8=0\"$
\n" ); document.write( " $\"%28x-4%29%28x%2B2%29=0\"$
\n" ); document.write( "Two solutions in $\"x\"$ :
\n" ); document.write( " $\"x-4=0\"$
\n" ); document.write( " $\"highlight%28x=4%29\"$
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\n" ); document.write( " $\"x%2B2=0\"$
\n" ); document.write( " $\"highlight%28x=-2%29\"$
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\n" ); document.write( " $\"u-3=0\"$
\n" ); document.write( " $\"u=3\"$
\n" ); document.write( " $\"x%5E2-2x=3\"$
\n" ); document.write( " $\"x%5E2-2x-3=0\"$
\n" ); document.write( " $\"%28x-3%29%28x%2B1%29=0\"$
\n" ); document.write( "Two solutions in $\"x\"$ :
\n" ); document.write( " $\"x-3=0\"$
\n" ); document.write( " $\"highlight_green%28x=3%29\"$
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\n" ); document.write( " $\"x%2B1=0\"$
\n" ); document.write( " $\"highlight_green%28x=-1%29\"$
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\n" ); document.write( "Four solutions: (-2,-1,3,4)
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