document.write( "Question 36065: solve for x: sqaure root(3x+10) minus square root(x+3)=-1\r
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Algebra.Com's Answer #22085 by Prithwis(166)![]() ![]() ![]() You can put this solution on YOUR website! sqrt(3x+10) - sqrt(x+3) = -1 \n" ); document.write( "=> sqrt(3x+10) = sqrt(x+3) - 1 \n" ); document.write( "Square both sides: \n" ); document.write( "(3x+10) = (x+3) + 1 - 2sqrt(x+3) \n" ); document.write( "=> 2x+6 = -2sqrt(x+3) \n" ); document.write( "=> x+3 = -sqrt(x+3) \n" ); document.write( "Square again: \n" ); document.write( "(x+3)^2 = (x+3) \n" ); document.write( "=> (x+3)(x+3-1) = 0 \n" ); document.write( "=> (x+3)(x+2) = 0 \n" ); document.write( "=> x = -3 or x= -2 \n" ); document.write( "Answer: x = -3 or x= -2 (you will need to use both the values in the square root to check if the value within sqaure root is >= 0); In this case they are.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |