Let `a , b` and be the roots of the equation `x^2-10 xc -11d =0` and those roots of c and d of `x^2-10 a x-11 b=0 ,dot` then find the value of `a+b+c+d

If x^2-10ax-11b =0 have roots c and d. x^2-10cx -11d=0 have roots a and b, then find a+b+c+d.

If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find the least value of x^2+a x+b(x in R)dot

If c lt a lt b lt d , then roots of the equation bx^(2)+(1-b(c+d)x+bcd-a=0

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

Let a ,b ,c be real numbers with a!=0a n dl e talpha,beta be the roots of the equation a x^2+b x+c=0. Express the roots of a^3x^2+a b c x+c^3=0 in terms of alpha,betadot

If c ,d are the roots of the equation (x-a)(x-b)-k=0 , prove that a, b are roots of the equation (x-c)(x-d)+k=0.

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then the roots of the equation (x-alpha)(x-beta)+c=0 are a , c b. b , c c. a , b d. a+c , b+c

If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+2c=0 where a ,b ,c in R

If the sum and product of the roots of the equation ax^(2)-5x+c=0 are both equal to 10 then find the values of a and c.

If a ,b and c are in A.P. and one root of the equation a x^2+b c+c=0 is 2 , the find the other root dot