document.write( "Question 209744This question is from textbook
\n" ); document.write( ": Solve: square root(3x+1)=1-square root(x+4) \n" ); document.write( "

Algebra.Com's Answer #158556 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve: square root(3x+1)=1-square root(x+4)
\n" ); document.write( "-----------------------
\n" ); document.write( "Square both sides:
\n" ); document.write( "---
\n" ); document.write( "3x+1 = 1 - 2sqrt(x+4) + x+4
\n" ); document.write( "2x-4 = -2sqrt(x+4)
\n" ); document.write( "---
\n" ); document.write( "x-2 = -sqrt(x+4)
\n" ); document.write( "---
\n" ); document.write( "Square both sides again:
\n" ); document.write( "x^2 - 4x + 4 = x + 4
\n" ); document.write( "x^2 - 5x = 0
\n" ); document.write( "x(x-5) = 0
\n" ); document.write( "x = 0 or x = 5
\n" ); document.write( "----------------------
\n" ); document.write( "Check the answers in the original equation:
\n" ); document.write( "sqrt(3x+1) = 1-sqrt(x+4)
\n" ); document.write( "checking x = 0: sqrt(1) = 1 - sqrt(4) ------- Wrong
\n" ); document.write( "------------------
\n" ); document.write( "checking x = 5: sqrt(16) = 1 - sqrt(9)-------Wrong
\n" ); document.write( "=========================================
\n" ); document.write( "Conclusion: No solution
\n" ); document.write( "====================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "Reply to stanbon@comcast.net
\n" ); document.write( " \n" ); document.write( "

\n" );