explanation is also needed
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Step-by-step explanation
x^2-5x+1=0
By the method
X=-b±√b^2-4ac/2a
=>X=-(-5)±√(-5)^2-4(5)(1)/2(1)
=>X=5±√25-1/2(1)
=>X=5±√24/2
Now,x^10+1/x^5
=>X^10/x^5+1/x^5=x^10-5+x^-5
=>X^5+x^-5=x^5+(-5)=x^0
=>1
Hence proved..
..
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