SOLUTION: find two numbers which are reciprocals of each other and whose sum is 5 Using system of non linear equations plssss helppp me

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Question 1186427: find two numbers which are reciprocals of each other and whose sum is 5
Using system of non linear equations plssss helppp me

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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two numbers which are reciprocals of each other and whose sum is 5
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x and 1%2Fx

x%2B1%2Fx=5-------------This is a non-linear equation.

common denominator is x.
Multiply both members by x.

x%5E2%2B1=5x
x%5E2-5x%2B1=0
x=%285%2B-+sqrt%28%28-5%29%5E2-4%2A1%29%29%2F2----applying general solution formula for quadratic equation
highlight%28x=%285%2B-+sqrt%2821%29%29%2F2%29
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