SOLUTION: Given that the roots of the equation 3x square+kx+p-2=0are4 and-2/3.find the value of k and p

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Given that the roots of the equation 3x square+kx+p-2=0are4 and-2/3.find the value of k and p      Log On


   

Question 940978: Given that the roots of the equation 3x square+kx+p-2=0are4 and-2/3.find the value of k and p
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Work backwards,
%28x-4%29%28x%2B2%2F3%29=x%5E2%2B%282%2F3%29x-4x-8%2F3
%28x-4%29%28x%2B2%2F3%29=x%5E2-%2810%2F3%29x-8%2F3
Since the coefficient for the x%5E2 term is 3, multiply by 3.
3%28x-4%29%28x%2B2%2F3%29=3x%5E2-10x-8
So then,
k=-10
and
p-2=-8
p=-6