If alpha + (1)/(alpha), beta + (1)/(beta...

If `alpha + (1)/(alpha), beta + (1)/(beta)` are zeros of `f(x)= x^(2)-5x-a`, where `alpha, beta in (0, oo)` for all `x in R`, then the complete set of values of a is

A

`[-6, (25)/(4)]`

B

`[(-25)/(4), 6]`

C

`[(-25)/(4), -6]`

D

`((-25)/(4), -6)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x^(2)-2x +4=0 then alpha^(n) + beta^(n) is equal to

If alpha and beta are the roots of the equation x ^(2) + alpha x + beta = 0, then

If alpha and beta are the roots of x ^(2) - ax + b ^(2) = 0, then alpha ^(2) + beta ^(2) is equal to

If alpha and beta are the roots of 4x^(2) + 2x - 1 = 0 , then beta is equal to

If alpha and beta are the roots of the equations x^(2) - 6x +a=0 and satisfy the relations 3 alpha + 2 beta= 16 , then the value of a is :

If f(x) = 5 log_(5)x then f^(-1)(alpha - beta) where alpha , beta in R is equal to

If alpha and beta are the roots of the equation x ^(2) + 3x - 4 = 0 , then (1)/(alpha ) + (1)/(beta) is equal to