document.write( "Question 69705This question is from textbook Colelge Algebra Essentials
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document.write( ": Hi, can you help me solve an Equation Quadratic in Form?\r
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document.write( "the Equation is \n" );
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Algebra.Com's Answer #49661 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve the Equation 6x^-1-5x^(-1/2)+1=0\r \n" ); document.write( "\n" ); document.write( "(3x^(-1/2) - 1)(2x^(-1/2)-1)=0\r \n" ); document.write( "\n" ); document.write( "3x^(-1/2) = 1 or 2x^(-1/2)=1 \n" ); document.write( "x^(-1/2)=1/3 or x^(-1/2)= 1/2 \n" ); document.write( "Square both sides to get: \n" ); document.write( "x^-1=1/9 or x^-1= 1/4 \n" ); document.write( "x=9 or x=4 \n" ); document.write( "----------- \n" ); document.write( "Check the answers in the original equation: \n" ); document.write( "6x^-1-5x^(-1/2)+1=0 \n" ); document.write( "If x=9, \n" ); document.write( "6(1/9)-5(1/3)+1=0 \n" ); document.write( "2/3-5/3+3/3=0 \n" ); document.write( "0=0 \n" ); document.write( "-------------- \n" ); document.write( "If x=4, \n" ); document.write( "6(1/4)-5(1/2)+1=0 \n" ); document.write( "3/2-5/2+2/2=0 \n" ); document.write( "0=0 \n" ); document.write( "------------- \n" ); document.write( "Both answers check out so x=9 or x=4 \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |