find all the numbers such that the number increased by reciprocal equals five times the number

find all the numbers such that the number increased by reciprocal equals five times the number
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1 Answer

x+(1/x)=5x

x^2 +1=5x

x^2-5x+1=0

x=4.7912878 or 0.2087122

from quadratik formula

-b/2a=2.5

b^2-4ac=21, root=4.582575693, root/2a=2.29128784747
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