document.write( "Question 508588: x^(-4/3)-13x^(-2/3)=-36 Can you please help me solve this? \n" ); document.write( "
Algebra.Com's Answer #341046 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
x^(-4/3)-13x^(-2/3)=-36
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\n" ); document.write( "Your problem is a quadratic form with variable x^(-2/3)
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\n" ); document.write( "Let w = x^(-2/3)
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\n" ); document.write( "Substitute to get:
\n" ); document.write( "w^2 - 13w + 36 = 0
\n" ); document.write( "w^2 -9w-4w + 36 = 0
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\n" ); document.write( "w(w-9) -4(w-9) = 0
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\n" ); document.write( "= (w-9)(w-4) = 0
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\n" ); document.write( "w = 9 or w = 4
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\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "x^(-2/3) = 9 or x^(-2/3) = 4
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\n" ); document.write( "x^(2/3) = 1/9 or x^(2/3) = 1/4
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\n" ); document.write( "x = (1/9)^(3/2) or x = (1/4)^(3/2)
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\n" ); document.write( "x = 1/27 or x = 1/8
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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