document.write( "Question 762462: solve the equation 3 + square root z-7 close quare root = square root z+8 close square root \n" ); document.write( "
Algebra.Com's Answer #463979 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"3+%2B+sqrt%28z-7%29+=+sqrt+%28z%2B8%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3+=+sqrt+%28z%2B8%29-sqrt%28z-7%29+\".....square both sides\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%5E2+=+%28sqrt+%28z%2B8%29-sqrt%28z-7%29%29%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"9+=+%28sqrt+%28z%2B8%29%29%5E2-2sqrt+%28z%2B8%29sqrt%28z-7%29%2B%28sqrt%28z-7%29%29%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"9+=+z%2B8-2sqrt+%28z%2B8%29sqrt%28z-7%29%2Bz-7+\"...........since \"sqrt+%28z%2B8%29sqrt%28z-7%29=sqrt%28%28z%2B8%29%28z-7%29%29\", we will have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9+=+2z%2B1-2sqrt%28%28z%2B8%29%28z-7%29%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2sqrt%28%28z%2B8%29%28z-7%29%29+=+2z%2B1-9+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2sqrt%28%28z%2B8%29%28z-7%29%29+=+2z-8+\".... both sides divide by \"2\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28z%2B8%29%28z-7%29%29+=+z-4+\".....square both sides\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%28%28z%2B8%29%28z-7%29%29%29%5E2+=+%28z-4%29%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"%28z%2B8%29%28z-7%29+=+z%5E2-8z%2B16+\"\r
\n" ); document.write( "\n" ); document.write( "\"z%5E2%2B8z-7z-56+=+z%5E2-8z%2B16+\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%28z%5E2%29%2Bz-56+=+cross%28z%5E2%29-8z%2B16+\"\r
\n" ); document.write( "\n" ); document.write( "\"z-56+=+-8z%2B16+\"\r
\n" ); document.write( "\n" ); document.write( "\"z%2B8z=+56%2B16+\"\r
\n" ); document.write( "\n" ); document.write( "\"9z=+72+\"\r
\n" ); document.write( "\n" ); document.write( "\"z=+72%2F9+\"\r
\n" ); document.write( "\n" ); document.write( "\"z=+8+\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );