document.write( "Question 446603: solve \"+sqrt%28x%2B3%29+=+x%2B1+\"\r
\n" ); document.write( "\n" ); document.write( "if possible could you include steps on how you reached the answer
\n" ); document.write( "

Algebra.Com's Answer #307572 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
solve \"sqrt%28x%2B3%29\" = x + 1
\n" ); document.write( "if possible could you include steps on how you reached the answer
\n" ); document.write( ":
\n" ); document.write( "Square both sides:
\n" ); document.write( "\"%28sqrt%28x%2B3%29%29%5E2+=+%28x+%2B+1%29%5E2\"
\n" ); document.write( "FOIL the right side
\n" ); document.write( "x + 3 = x^2 + 2x + 1
\n" ); document.write( "Combine like terms on the right
\n" ); document.write( "0 = x^2 + 2x - x + 1 - 3
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 + x - 2 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+2)(x-1) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = -2
\n" ); document.write( "and
\n" ); document.write( "x = +1
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You must check both solutions in the original equation
\n" ); document.write( "x = -2
\n" ); document.write( "\"sqrt%28-2%2B3%29\" = -2 + 1
\n" ); document.write( "\"sqrt%281%29\" = -1
\n" ); document.write( "1 does not = -1, not a valid solition
\n" ); document.write( "try x=1
\n" ); document.write( "\"sqrt%281%2B3%29\" = 1 + 1
\n" ); document.write( "\"sqrt%284%29\" = 2; a good solution
\n" ); document.write( "
\n" ); document.write( "
\n" );