document.write( "Question 703976: sole & check for extraneous solutions.
\n" ); document.write( "X^1/2-(x-5)^1/2=2
\n" ); document.write( "some how the answer is 81/16 but i dont know how to solve it \n" ); document.write( "
Algebra.Com's Answer #433838 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
sovle & check for extraneous solutions.
\n" ); document.write( "X^1/2-(x-5)^1/2=2
\n" ); document.write( "√x-√(x-5)=2
\n" ); document.write( "square both sides
\n" ); document.write( "x-2√x(x-5)=4
\n" ); document.write( "-2√x(x-5)=4-x
\n" ); document.write( "square both sides again
\n" ); document.write( "4(x^2-5x)=16-8x+x^2
\n" ); document.write( "4x^2-20x=16-8x+x^2
\n" ); document.write( "3x^2-12x-16=0
\n" ); document.write( "solve for x using completing the square method.
\n" ); document.write( "3(x^2-4x+4)=16+12
\n" ); document.write( "3(x-2)^2=28
\n" ); document.write( "(x-2)^2=28/3
\n" ); document.write( "x-2=±√(28/3)
\n" ); document.write( "x=2±√(28/3)
\n" ); document.write( "x=2±√(28/3)
\n" ); document.write( "x≈2±3.055
\n" ); document.write( "x≈5.055
\n" ); document.write( "or
\n" ); document.write( "x≈-1.055(reject, x≥0)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );