SOLUTION: Find the value of the constant c , if the difference of the roots of x^2-11x+c = 0 is 3

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find the value of the constant c , if the difference of the roots of x^2-11x+c = 0 is 3      Log On


   

Question 252122: Find the value of the constant c , if the difference of the roots of x^2-11x+c = 0
is 3
Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
x^2-11x+c = 0 let a,b be the roots of this equation.
sum of the roots is (a+b)=11
product of the roots ab = c
now given (a-b)=3
(a-b)^2=(a+b)^2-4ab
-> 9 = 121-4c
=> 4c = 112
=> c=28
ans. c=28