The equation formed by multiplying each root of `ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0`
IF `alpha,beta` are the roots does the quadratic equation `ax^(2) + bx + b = 0` then what is the value of `sqrt(alpha/beta) + sqrt(beta /alpha)+ sqrt(b/a)` ?

Options

A. -1
B. 0
C. 1
D. 2

Answer

B

Explanation

`alpha and beta` are the roots of the given equation, then `alpha + beta = - b/a and alpha beta = b/a`
` sqrt(alpha/beta )+ sqrt(beta/alpha)+ sqrt(b/a)`
` (alpha + beta)/(alpha beta) + sqrt(alpha beta)`
` (alpha + beta + alpha beta )/sqrt(alpha beta)= (-b/a+b/a)/(sqrt(b/a)) =0`