document.write( "Question 1031664: Find all the real solution of the equation
\n" ); document.write( "x^2-|x-1|-3=0 \n" ); document.write( "

Algebra.Com's Answer #646349 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"abs%28x-1%29=x-1\"$ when $\"x-1%3E=0\"$ or $\"x%3E=1\"$
\n" ); document.write( " $\"abs%28x-1%29=-%28x-1%29=-x%2B1\"$ when $\"x-1%3C0\"$ or $\"x%3C1\"$
\n" ); document.write( "So then,
\n" ); document.write( "when $\"x%3E=1\"$
\n" ); document.write( " $\"x%5E2-%28x-1%29-3=0\"$
\n" ); document.write( " $\"x%5E2-x%2B1-3=0\"$
\n" ); document.write( " $\"x%5E2-x-2=0\"$
\n" ); document.write( " $\"%28x-2%29%28x%2B1%29=0\"$
\n" ); document.write( "Only one factor is in the range,
\n" ); document.write( " $\"x-2=0\"$
\n" ); document.write( " $\"highlight%28x=2%29\"$
\n" ); document.write( "and when $\"x%3C1\"$
\n" ); document.write( " $\"x%5E2-%28-x%2B1%29-3=0\"$
\n" ); document.write( " $\"x%5E2%2Bx-4=0\"$
\n" ); document.write( " $\"%28x%5E2%2Bx%2B1%2F4%29-4-1%2F4=0\"$
\n" ); document.write( " $\"%28x%2B1%2F2%29%5E2=17%2F4\"$
\n" ); document.write( " $\"x%2B1%2F2=0+%2B-+sqrt%2817%29%2F2\"$
\n" ); document.write( " $\"x=-1%2F2+%2B-+sqrt%2817%29%2F2\"$
\n" ); document.write( "Again only one factor is in the range,
\n" ); document.write( " $\"x=-1%2F2+-+sqrt%2817%29%2F2\"$
\n" ); document.write( " $\"highlight%28x=-%28%281%2Bsqrt%2817%29%29%29%2F2%29\"$
\n" ); document.write( "

.
\n" ); document.write( " \n" ); document.write( "

\n" );