if x+1/x=10 then what is the value of x^100+1/x^100= ?
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[tex] \frac{1}{x} +x=10 \\ \\ \frac{ x^{2} +1 }{x} =10 \\ \\ x^{2} +1=10x \\ \\ x^{2} -10x=-1 \\ x^{2} -10x+25=24 \\ \\ (x-5)^{2} =24 \\ x-5= \sqrt{24} \\ x= \sqrt{24}+5 [/tex]
x^100=3.62278385×10⁹⁹
1/x=0.101020514
1/x^100= 0
division by 0 is undefined
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