document.write( "Question 752513: 1. Solve for x
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document.write( "a) √(x+1) + √(2x-5) = 3\r
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document.write( "Can you please help me out? Thanks so much in advance:)
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document.write( "Can you please show the steps it would really help me understand:) \n" );
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Algebra.Com's Answer #457763 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! √(x+1) + √(2x-5) = 3 \n" ); document.write( "------------------------- \n" ); document.write( "Square both sides to get: \n" ); document.write( "(x+1) + (2x-5) + 2*sqrt[(x+1)(2x-5)] = 9 \n" ); document.write( "-------- \n" ); document.write( "2sqrt[2x^2 -3x -5] = 13 - 3x \n" ); document.write( "----- \n" ); document.write( "Square both sides again: \n" ); document.write( "4[2x^2-3x-5] = 169-78x+9x^2 \n" ); document.write( "------ \n" ); document.write( "8x^2 - 12x -20 = 169 - 78x + 9x^2 \n" ); document.write( "x^2 - 66x +189 = 0 \n" ); document.write( "---- \n" ); document.write( "(x-3)(x+63) = 0 \n" ); document.write( "---- \n" ); document.write( "Positive solution: \n" ); document.write( "x = 3 \n" ); document.write( "=============== \n" ); document.write( "Check the answer in the original equation. \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " \n" ); document.write( " |