SOLUTION: sqrtx=9+4sqrt5find the value of sqrtx-1/sqrtx

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Question 882358: sqrtx=9+4sqrt5find the value of sqrtx-1/sqrtx
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!


find the value of 



Substitute  for 



Rationalize the denominator of the expression on the right
by multiplying by the conjugate of the denomintor over itself:









Be careful here when you drop the 1 denominator
to enclose the numerator in parentheses because
there are two terms and the - sign preceding it
must affect both terms:





The 9 and -9 cancel:





Edwin

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