document.write( "Question 164762: sqrt(26t+10)-5sqrt(t)=1 \n" ); document.write( "
Algebra.Com's Answer #121436 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
sqrt(26t+10)-5sqrt(t)=1
\n" ); document.write( "------------------------
\n" ); document.write( "I'll assume you want to solve for t, tho you should say that.
\n" ); document.write( "\"sqrt%2826t%2B10%29-5sqrt%28t%29=1\"
\n" ); document.write( "\"sqrt%2826t%2B10%29=5sqrt%28t%29%2B1\" Isolate one radical
\n" ); document.write( "Square both sides.
\n" ); document.write( "\"26t%2B10+=+25t+%2B+10sqrt%28t%29+%2B+1\"
\n" ); document.write( "Collect terms
\n" ); document.write( "\"t%2B9+=+10sqrt%28t%29\"
\n" ); document.write( "Square again
\n" ); document.write( "\"t%5E2+%2B+18t+%2B+81+=+100t\"
\n" ); document.write( "\"t%5E2+-+82t+%2B+81+=+0\"
\n" ); document.write( "(t-1)*(t-81) = 0
\n" ); document.write( "t = 1
\n" ); document.write( "t = 81
\n" ); document.write( "Check:
\n" ); document.write( "sqrt(26t+10)-5sqrt(t)=1
\n" ); document.write( "sqrt(26*1+10)-5sqrt(1)=1
\n" ); document.write( "sqrt(36)-5*1=1
\n" ); document.write( "6-5=1, so that one's good.
\n" ); document.write( "-------------------------------
\n" ); document.write( "\"sqrt%2826t%2B10%29-5sqrt%28t%29=1\"
\n" ); document.write( "\"sqrt%2826%2A81%2B10%29-5sqrt%2881%29=1\"
\n" ); document.write( "\"sqrt%282116%29-5sqrt%2881%29=1\"
\n" ); document.write( "46- 5*9 =1
\n" ); document.write( "46-45 = 1
\n" ); document.write( "That's good too.
\n" ); document.write( "
\n" ); document.write( "
\n" );