document.write( "Question 93423This question is from textbook
\n" ); document.write( ": sqrt (y) + sqrt (y+7) = 7 please help me solve for the unknown and show all work \n" ); document.write( "
Algebra.Com's Answer #68050 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
sqrt (y) + sqrt (y+7) = 7
\n" ); document.write( ":
\n" ); document.write( "Subtract sqrt(y) from both sides:
\n" ); document.write( "sqrt(y+7) = 7 - sqrt(y)
\n" ); document.write( ":
\n" ); document.write( "Square both sides, FOIL (7-sqrt(y))*(7-sqrt(y)), gets rid of radical on the left
\n" ); document.write( "y + 7 = 49 - 7*sqrt(y) - 7*sqrt(y) + y
\n" ); document.write( "y + 7 = 49 - 14*sqrt(y) + y
\n" ); document.write( ":
\n" ); document.write( "Arrange everything on the left except the radical remains on the right:
\n" ); document.write( "y - y + 7 - 49 = 14*sqrt(y)
\n" ); document.write( "-42 = 14*sqrt(y)
\n" ); document.write( ":
\n" ); document.write( "Square both sides, gets rid of the radical on the right, (square 14 also)
\n" ); document.write( "+1764 = 196y
\n" ); document.write( ":
\n" ); document.write( "y = 1764/196
\n" ); document.write( ":
\n" ); document.write( "y = 9
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution in original equation:
\n" ); document.write( "sqrt (y) + sqrt (y+7) = 7
\n" ); document.write( "sqrt(9) + sqrt(9+7) = 7
\n" ); document.write( "sqrt(9) + sqrt(16) = 7
\n" ); document.write( ":
\n" ); document.write( "Did this make sense to you?
\n" ); document.write( " \n" ); document.write( "
\n" );