document.write( "Question 33768: I need to solve the equation square root of x+56=x and i ned to check for extraneous solutions \n" ); document.write( "
Algebra.Com's Answer #20224 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! square root of x+56=x....SQUARING \n" ); document.write( "X+56=X^2 \n" ); document.write( "X^2-X-56=0=X^2-8X+7X-56=X(X-8)+7(X-8)=(X-8)(X+7)=0 \n" ); document.write( "X=8...OR...-7...CHECKING BACK WE GET \n" ); document.write( "SQRT(8+56)=SQRT(64)=8=X...OK \n" ); document.write( "SQRT(-7+56)=SQRT(49)=7=-X..SO NOT CORRECT... \n" ); document.write( "HENCE ONLY X=8 IS CORRECT SOLUTION \n" ); document.write( " |