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

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

Algebra.Com

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) (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
RELATED QUESTIONS
c) Calculate the value of if the difference between the roots of x^2-6x+k=0 is 3. (answered by jim_thompson5910)

If the difference of the roots of 2xx-6x+c=0 is 5, find the roots and the value of... (answered by TimothyLamb)

Solve the equation 4x^2 +12x=0 f(x) =4x^2+12x=0 where c is a constant And part b... (answered by solver91311)

If one of the roots of the equation 2x^2 - x + C =0 is doubled the other root, find... (answered by ankor@dixie-net.com)

Find the roots of... (answered by ikleyn,MathTherapy)

Find the roots of the polynomial equation. x^4 - 5x^3 + 11x^2 - 25x + 30 = 0;... (answered by Edwin McCravy)

Find the value of the constants A, B, C and D in the following identity: {{{... (answered by Fombitz)

If the sum of the roots of equation ax^2+4x+c=0 is half of their difference.then find... (answered by Boreal)

If cx^2 - 74x - 7 = (11x + 1)(ax + b) , what is the value of... (answered by Edwin McCravy)