document.write( "Question 8199: help me solve for y\r
\n" ); document.write( "\n" ); document.write( "(x-1)^2 + y^2 = 1
\n" ); document.write( "

Algebra.Com's Answer #4515 by AnlytcPhil(1810)\"\" \"About 
You can put this solution on YOUR website!
help me solve for y
\n" ); document.write( "`
\n" ); document.write( "` ` ` ` (x-1)2 + y2 = 1
\n" ); document.write( "`
\n" ); document.write( "Subtract (x-1)2 from both sides
\n" ); document.write( "`
\n" ); document.write( "` ` ` ` `y2 = 1 - (x-1)2\r
\n" ); document.write( "\n" ); document.write( "Write 1 as 12
\n" ); document.write( "`
\n" ); document.write( "` ` ` ` `y2 = 12 - (x-1)2
\n" ); document.write( "`
\n" ); document.write( "The right side will factor as the difference of two squares:
\n" ); document.write( "`
\n" ); document.write( "` ` ` ` `y2 = [1 - (x-1)][1 + (x-1)]
\n" ); document.write( "`
\n" ); document.write( "Remove inner parentheses
\n" ); document.write( "`
\n" ); document.write( "` ` ` ` `y2 = [1 - x + 1)(1 + x - 1]
\n" ); document.write( "`
\n" ); document.write( "Combine like terms
\n" ); document.write( "`
\n" ); document.write( "` ` ` ` `y2 = [2 - x][x]
\n" ); document.write( "`
\n" ); document.write( "Rewrite with short factor first
\n" ); document.write( "`
\n" ); document.write( "` ` ` ` `y2 = x(2-x)
\n" ); document.write( "`
\n" ); document.write( "Take square roots of both sides, remembering ± on the right
\n" ); document.write( "` ` ` ` ` ` ` ` ______
\n" ); document.write( "` ` ` ` ` y = ±Öx(2-x)
\n" ); document.write( "`
\n" ); document.write( "Edwin
\n" ); document.write( "
\n" );