document.write( "Question 234338: I am supposed to solve:\r
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document.write( "sqrt with the radicand 5x +21, then = x+3. So the question is:\r
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document.write( "sqrt 5x+21=x+3 \n" );
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Algebra.Com's Answer #172789 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I am supposed to solve: \n" ); document.write( "sqrt with the radicand 5x +21, then = x+3. So the question is: \n" ); document.write( "sqrt(5x+21) = x+3 \n" ); document.write( "--- \n" ); document.write( "Square both sides to get: \n" ); document.write( "5x+21 = x^2 + 6x + 9 \n" ); document.write( "--- \n" ); document.write( "Then x^2 + x - 12 = 0 \n" ); document.write( "(x+4)(x-3) = 0 \n" ); document.write( "x = -4 or x = 3 \n" ); document.write( "----------------------- \n" ); document.write( "Since you squared, you have to check for extraneous answers. \n" ); document.write( "------------------------------ \n" ); document.write( "Checking x = -4 you get: \n" ); document.write( "sqrt(-20+21) = -4+3 \n" ); document.write( "sqrt(1) = -1 \n" ); document.write( "1 = -1 \n" ); document.write( "False ; so x = -4 is extraneous \n" ); document.write( "------------------------------------- \n" ); document.write( "Checking x = 3 you get: \n" ); document.write( "sqrt(15+21) = 3+3 \n" ); document.write( "sqrt(36) = 6 \n" ); document.write( "6 = 6 \n" ); document.write( "----------------------------- \n" ); document.write( "Final Answer: x = 3 \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |