document.write( "Question 1059480: Solve the equation by making an appropriate substitution
\n" ); document.write( "32) x^-2 - 11x^-1 + 10 = 0\r
\n" ); document.write( "\n" ); document.write( "33)x^2/5 -x^1/5 -2=0
\n" ); document.write( "

Algebra.Com's Answer #674541 by stanbon(75887)\"\" \"About 
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( "
\n" );