Question 1186427
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two numbers which are reciprocals of each other and whose sum is 5
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x and {{{1/x}}}


{{{x+1/x=5}}}-------------This is a non-linear equation.


common denominator is x.
Multiply both members by x.


{{{x^2+1=5x}}}

{{{x^2-5x+1=0}}}

{{{x=(5+- sqrt((-5)^2-4*1))/2}}}----applying general solution formula for quadratic equation

{{{highlight(x=(5+- sqrt(21))/2)}}}

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