document.write( "Question 50582: What is the answer to the (square root of x+7) + (square root of x) = 3 \n" ); document.write( "
Algebra.Com's Answer #33655 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (sqrt (x+7)) + (sqrt x) = 3\r \n" ); document.write( "\n" ); document.write( "Square both sides to get: \n" ); document.write( "(x+7)+2sqrt(x(x+7))+x = 9 \n" ); document.write( "2sqrt(x^2+7x)=-2(x-1) \n" ); document.write( "sqrt(x^2+7x)=-(x-1) \n" ); document.write( "Square both sides to get: \n" ); document.write( "x^2+7x=x^2-2x+1 \n" ); document.write( "9x=1 \n" ); document.write( "x=1/9 \n" ); document.write( "Checking the answer: \n" ); document.write( "sqrt((1/9)+(63/9)) + sqrt((1/9))=3 \n" ); document.write( "sqrt(64/9)+sqrt(1/9)=3 \n" ); document.write( "8/3 + 1/3 = 3 \n" ); document.write( "3=3\r \n" ); document.write( "\n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |