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\n" ); document.write( "my teacher gave me the answer, and she said it is x=4 or x=1, but i do not know how to do the work to get that. Please help!!!!!!!!!
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Algebra.Com's Answer #224749 by stanbon(75887)![\"\"](\"/images/stars/stars-13.gif\")   You can put this solution on YOUR website! sqrt(x)-4=sqrt(9x) \n" ); document.write( "--- \n" ); document.write( "Square both sides to get: \n" ); document.write( "x - 8sqrt(x) + 16 = 9x \n" ); document.write( "--- \n" ); document.write( "Simplify: \n" ); document.write( "-8sqrt(x) = 8x-16 \n" ); document.write( "--- \n" ); document.write( "Divide both sides by -8 to get: \n" ); document.write( "sqrt(x) = 2 - x \n" ); document.write( "--- \n" ); document.write( "Square both sides: \n" ); document.write( "x = 4-4x+x^2 \n" ); document.write( "---- \n" ); document.write( "Rearrange: \n" ); document.write( "x^2 -5x+4 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(x-4)(x-1) = 0 \n" ); document.write( "--- \n" ); document.write( "Potential Answers: \n" ); document.write( "x = 1 or x = 4 \n" ); document.write( "--- \n" ); document.write( "Check these in the original equation: \n" ); document.write( "sqrt(x)-4=sqrt(9x) \n" ); document.write( "Check x=1: \n" ); document.write( "sqrt(1) -4 = sqrt(9) \n" ); document.write( "1-4 = 3 \n" ); document.write( "-3 = 3 \n" ); document.write( "False \n" ); document.write( "So, x = 1 is not an acceptable answer. \n" ); document.write( "--- \n" ); document.write( "Check x = 4: \n" ); document.write( "sqrt(4) - 4 = sqrt(9*4) \n" ); document.write( "2 -4 = 6 \n" ); document.write( "-2 = 6 \n" ); document.write( "False \n" ); document.write( "So, x = 4 is not an acceptable answer. \n" ); document.write( "--- \n" ); document.write( "Conclusion: The original equation has no solutions. \n" ); document.write( "======================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |