document.write( "Question 270066: Solve the equation.\r
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\n" ); document.write( "\n" ); document.write( "6x^(-1/2) - 13x^(-1/4) +6 = 0 \n" ); document.write( "
Algebra.Com's Answer #197896 by stanbon(75887)\"\" \"About 
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Solve the equation. \r
\n" ); document.write( "\n" ); document.write( "6x^(-1/2) - 13x^(-1/4) +6 = 0
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\n" ); document.write( "Let x^(-1/4) = w
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\n" ); document.write( "You get the quadratic:
\n" ); document.write( "6w^2 - 13w + 6 = 0
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\n" ); document.write( "6w^2 -4w-9w + 6 = 0
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\n" ); document.write( "2w(3w-2) -3(3w-2) = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(3w-2)(2w-3) = 0
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\n" ); document.write( "w= 2/3 or w = 3/2
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\n" ); document.write( "Now solve for \"x\":
\n" ); document.write( "If x = 2/3
\n" ); document.write( "x^(-1/4) = 2/3
\n" ); document.write( "x = (2/3)^(-4)
\n" ); document.write( "x = 81/16
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\n" ); document.write( "If w = 3/2
\n" ); document.write( "x^(-1/4) = 3/2
\n" ); document.write( "x = (3/2)^-4
\n" ); document.write( "x = 16/81
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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