Question 1122999
Adjusted:
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The product of two numbers is 1.

 The sum of the large number and  twice the smaller number is 11.

 Find the two numbers.
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Two numbers, x and 1/x.


{{{x*(1/x)=1}}}


 second part of description gives
{{{highlight_green(x+2/x=11)}}}
Solve this.


{{{x^2+2=11x}}}
{{{x^2-11x+2=0}}}
 {{{x=(11+- sqrt(121-4*2))/2}}}

{{{highlight(x=(11+- sqrt(113))/2)}}}


x is either 0.184927 or  10.81507
(They both work)