document.write( "Question 196612: Solve algebraically and check your potential solutions: √(x+2)-x=0 \n" ); document.write( "
Algebra.Com's Answer #147361 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Solve algebraically and check your potential solutions: √(x+2)-x=0 \n" ); document.write( "--- \n" ); document.write( "Rearrange: \n" ); document.write( "sqrt(x+2) = x \n" ); document.write( "Square both sides to get: \n" ); document.write( "x+2 = x^2 \n" ); document.write( "x^2-x-2 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(x-2)(x+1) = 0 \n" ); document.write( "x = 2 or x = -1 \n" ); document.write( "------ \n" ); document.write( "Check x = 2 in the original equation: \n" ); document.write( "sqrt(2+2) = 2 \n" ); document.write( "That is true \n" ); document.write( "-------- \n" ); document.write( "Check x = -1 in the original equation: \n" ); document.write( "sqrt(-1+2) = -1 \n" ); document.write( "That is false \n" ); document.write( "------------------- \n" ); document.write( "Final Solution: \n" ); document.write( "x = 2 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |