document.write( "Question 316670: (4x-1)^2-6(4x-1)+25=0 \n" ); document.write( "

Algebra.Com's Answer #226567 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use a substitution.
\n" ); document.write( "Let $\"u=4x-1\"$
\n" ); document.write( " $\"+%284x-1%29%5E2-6%284x-1%29%2B25=0+\"$
\n" ); document.write( " $\"u%5E2-6u%2B25=0\"$
\n" ); document.write( " $\"%28u%5E2-6u%2B9%29%2B16=0\"$
\n" ); document.write( " $\"%28u-3%29%5E2=-16\"$
\n" ); document.write( " $\"u-3=0+%2B-+4i\"$
\n" ); document.write( " $\"u=3+%2B-+4i\"$
\n" ); document.write( " $\"4x-1=3+%2B-+4i\"$
\n" ); document.write( " $\"4x=4+%2B-+i\"$
\n" ); document.write( " $\"highlight_green%28x=1+%2B-+i%29\"$ where $\"i=sqrt%28-1%29\"$
\n" ); document.write( " \n" ); document.write( "

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