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Answer:
144√5
Step-by-step explanation:
At first we have x.
Find reciprocal of x and then rationalise as follows,
1/x=1/(9+4√5)
or,1/x=(9-4√5)/{(9+4√5)(9-4√5)}[multiply the numerator and denominator by 9-4√5]
or,1/x=9-4√5/(81-80)
or,1/x=9-4√5
x^2-1/x^2=(x+1/x)(x-1/x)
put the values of x and 1/x in the above equation and find the value of x square minus one upon x square.
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