document.write( "Question 1001292: Which is the extraneous solution of -x = √2x+15?
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document.write( "The options are -5, -3, 3, or 5.\r
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document.write( "Extraneous solutions are very hard for me to find. Thank you for any help! \n" );
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Algebra.Com's Answer #618532 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! -x = sqrt(2x + 15) \n" ); document.write( "square both sides of = \n" ); document.write( "x^2 = 2x + 15 \n" ); document.write( "x^2 -2x -15 = 0 \n" ); document.write( "(x-5)*(x+3) = 0 \n" ); document.write( "x = 5 or -3 \n" ); document.write( "check answers \n" ); document.write( "-(-3) = sqrt(9) \n" ); document.write( "3 = 3 \n" ); document.write( "-5 = sqrt(25) \n" ); document.write( "-5 = 5 \n" ); document.write( "************************************************************************* \n" ); document.write( "-5 is the extraneous root \n" ); document.write( "************************************************************************* \n" ); document.write( "here is the graph of both equations, -x is red and sqrt(2x+15) is green \n" ); document.write( " \n" ); document.write( "solution is the intersection of the equations, therefore \n" ); document.write( "x = -3\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |