Write the value of `alpha + beta ` and `alpha beta `, if (i) `a = 3, b = 6 , c = 9 ` (ii) `a = 2, b = - 8 , c = 5 `

Write the quadratic equations, if (i) alpha + beta = -6, alpha beta = 4 (ii) alpha + beta = 8 , alpha beta = -3

If alpha, beta are zeroes of polynomial 6x^(2) +x-1 , then find the value of (i) alpha^(3) beta + alpha beta^(3) , (ii) alpha/beta + beta/alpha +2(1/alpha + 1/beta) + 3 alpha beta

Find the values of alpha^(3)+beta^(3) in terms of a, b, c if alpha, beta are roots of ax^(2)+bx+c=0 , c != 0

Let alpha,beta in R and (alpha-beta i )/(1+2i) =(-6-8i )/(5) . The value of (alpha+beta) is

Let log_3^N = alpha_1 + beta_1 , log_5^N = alpha_2 + beta_2 , log_7^N = alpha_3 + beta_3 Largest integral value of N if alpha_1 =5 , alpha_2 = 3 and alpha_3=2 and beta_1, beta_2, beta_3=(0,1) (A)342. (D) 242 (C) 243 (B) 343 342 17 Difference of largest and smallest integral values of N if alpha_1 =5 , alpha_2 = 3 and alpha_3=2 and beta_1, beta_2, beta_3=(0,1) (D) 99 (C) 98 (B) 100 (A) 97

IF alpha , beta are the roots of ax ^2 + bx +c=0 then ((alpha )/( a beta + b) )^(3) - ( ( beta )/( a alpha + b )) ^(3)=

If alpha , beta are the roots of ax ^2 + bx +c=0 then alpha ^5 beta ^8 + alpha beta ^5=

IF alpha , beta are the roots of ax ^2 + bx + c=0 then ( a alpha + b )^(-3) + ( a beta + b ) ^(-3)=