SOLUTION: A sum of a number and 7 times it's reciprocal is (16/3). Please solve for the number.

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Question 168656: A sum of a number and 7 times it's reciprocal is (16/3). Please solve for the number.
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
lets call the number x
so x+7(1/x)=16/3---> multiply all terms by 3x
:
3x^2+21=16x
:

x=3 and 2.333(7/3)
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=4 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3, 2.33333333333333. Here's your graph:
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