SOLUTION: Suppose r and s are the roots of the quadratic equation 3x^2 + 2x - 8 = 0. Find the following values. a. the average of r and s

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Suppose r and s are the roots of the quadratic equation 3x^2 + 2x - 8 = 0. Find the following values. a. the average of r and s      Log On


   



Question 1179405: Suppose r and s are the roots of the quadratic equation 3x^2 + 2x - 8 = 0.
Find the following values.
a. the average of r and s

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

    the average of r and s = %28r%2Bs%29%2F2.


To find  r+s,  apply  the Vieta's theorem:


    r + s = -b%2Fa = -2%2F3.


Therefore,  the average of r and s = %28r%2Bs%29%2F2 = %281%2F2%29%2A%28-2%2F3%29 = -1%2F3.     ANSWER

Solved.