Question

if alpha and beta are the zeros of the polynomial x square - 3 x + 5 then alpha/ beta + beta/Alpha is equal to?? ​

Answer 1

Answer:

-1/5

Step-by-step explanation:

Let the quadratic equation be x^2+bx+c,

alpha+beta= -b/a

alpha*beta= c/a

ATQ,

alpha/beta+ beta/alpha

=(alpha)^2+(beta)^2/(alpha*beta)

=(alpha+beta)^2-2alpha*beta/ (alpha*beta)

={((-b/a)^2-2 c/a)/ (c/a)}

={(-(-3))^2-(2*5)/5}

=9-10/5= -1/5