SOLUTION: Given x is not equal to 0, find the positive value of b such that the equation 3/x + x/3 = b will have exactly one solution.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Given x is not equal to 0, find the positive value of b such that the equation 3/x + x/3 = b will have exactly one solution.       Log On


   

Question 1030081: Given x is not equal to 0, find the positive value of b such that the equation 3/x + x/3 = b will have exactly one solution.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Fx%2Bx%2F3-b=0------FIRST STEP

3x%283%2Fx%29%2B3x%28x%2F3%29-3x%2Ab=3x%2A0------simplest common denominator is 3x.

9%2Bx%5E2-3bx=0

x%5E2-3bx%2B9=0

Discriminant must be equal to 0 for the equation to have ONE only solution.
%283b%29%5E2-4%2A9=0, the discriminant equated to 0.
9b%5E2-4%2A9=0
9b%5E2=4%2A9
highlight%28b=0%2B-+2%29