Question

If (xto the power of 1/2 + xto the power of -1/2)the whole squre=9/2, then find the value of (xto the power of 1/2 -x to the power of -1/2) for x>1.

Answer 1

$sqare of(\sqrt{x} +1/\sqrt{x} ) =1/x+x+2=9/2 2x^{2} -9x+4 x=1/2or4 since x is aboveso x=4 is the answer$