document.write( "Question 545537: Solve for , where is a real number. \r
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document.write( "(under a radical) -x+6 + (under a different radical) x-5 = 1 \r
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document.write( "(If there is more than one solution, separate them with commas.)
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Algebra.Com's Answer #355616 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! (under a radical) -x+6 + (under a different radical) x-5 = 1 \n" ); document.write( "---- \n" ); document.write( "sqrt(-x+6) + sqrt(x-5) = 1 \n" ); document.write( "--- \n" ); document.write( "Square both sides to get: \n" ); document.write( "(-x+6) + (x-5) + 2sqrt(-x^2+11x-30) = 1 \n" ); document.write( "--------- \n" ); document.write( "2sqrt(-x^2+11x-30) = 0 \n" ); document.write( "--- \n" ); document.write( "sqrt(-x^2+11x-30) = 0 \n" ); document.write( "--- \n" ); document.write( "-x^2+11x-30 = 0 \n" ); document.write( "--- \n" ); document.write( "x^2-11x+30 = 0 \n" ); document.write( "--- \n" ); document.write( "Factor: \n" ); document.write( "(x-6)(x+5) = 0 \n" ); document.write( "----- \n" ); document.write( "Acceptable answer: \n" ); document.write( "x = 6 \n" ); document.write( "============ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |