document.write( "Question 1059480: Solve the equation by making an appropriate substitution
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document.write( "32) x^-2 - 11x^-1 + 10 = 0\r
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document.write( "33)x^2/5 -x^1/5 -2=0 \n" );
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Algebra.Com's Answer #674541 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the equation by making an appropriate substitution \n" ); document.write( "32) x^-2 - 11x^-1 + 10 = 0 \n" ); document.write( "Let x^-1 = w \n" ); document.write( "w^2 - 11w + 10 = 0 \n" ); document.write( "Factor:: \n" ); document.write( "(w-10)(w-1) = 0 \n" ); document.write( "w = 10 or w = 1 \n" ); document.write( "Solve for \"x\":: \n" ); document.write( "x^-1 = 10 or x^-1 = 1 \n" ); document.write( "x = 1/10 or x = 1 \n" ); document.write( "------------------ \n" ); document.write( " \n" ); document.write( "33)x^2/5 -x^1/5 -2=0 \n" ); document.write( "Let w = x^(1/5) \n" ); document.write( "w^2 - w -2 = 0 \n" ); document.write( "(w-2)(w+1) = 0 \n" ); document.write( "w = 2 or w = -1 \n" ); document.write( "------ \n" ); document.write( "x^(1/5) = 2 or x^(1/5) = -1 \n" ); document.write( "------ \n" ); document.write( "x = 2^5 = 32 or x = (-1)^5 = -1 \n" ); document.write( "-------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------- \n" ); document.write( " |