document.write( "Question 87636: solve the radical equation (2x-1)^1/2=x-2 \n" ); document.write( "

Algebra.Com's Answer #63529 by SandySharma(35) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282x-1%29%5E%281%2F2%29=x-2\"$ \r
\n" ); document.write( "\n" ); document.write( "Squaring both sides, we will get\r
\n" ); document.write( "\n" ); document.write( " $\"2x-1+=+%28x-2%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x-1+=+x%5E2+-+4x+%2B+4\"$ \r
\n" ); document.write( "\n" ); document.write( "Subtract $\"x%5E2\"$ on both sides we will get\r
\n" ); document.write( "\n" ); document.write( " $\"2x-1+-+x%5E2+=+-+4x+%2B+4\"$ \r
\n" ); document.write( "\n" ); document.write( "Add 4x on both sides we will get\r
\n" ); document.write( "\n" ); document.write( " $\"2x-1+-+x%5E2+%2B+4x+=+4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6x-1+-+x%5E2+=+4\"$ \r
\n" ); document.write( "\n" ); document.write( "Subtract 4 on both sides we will get\r
\n" ); document.write( "\n" ); document.write( " $\"6x-1+-+x%5E2+-+4=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-+x%5E2+%2B+6x+-+5=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "divide by -1 , we will get
\n" ); document.write( " $\"x%5E2+-+6x+%2B+5=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "Now factorize it\r
\n" ); document.write( "\n" ); document.write( "(x - 5)(x-1) = 0\r
\n" ); document.write( "\n" ); document.write( "x = 5, 1\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );