SOLUTION: the sum of a number and its multiplicative inverse is five times the number.

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Question 1112352: the sum of a number and its multiplicative inverse is five times the number.
Answer by ikleyn(52795)   (Show Source): You can put this solution on YOUR website!
.
The number is  +/- = +/- 0.5.


I solved it mentally.


You can solve this equation


 +  = 


The first step is to multiply both sides by x:


x^2 + 1 = 5x^2


4x^2 = 1  ====>  x^2 =   ====>  x =  = +/- .

Solved.


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