Question

If alpha and beta are the zeros of the quadratic polynomial ax2+bx+c then find the value of ✓alpha/beta + ✓beta/alpha

Answer 1

Answer:

Given α, β are the zeroes of the given polynomial

α + β = ( – b/a)

αβ = (c/a)

Consider, √α/√β +√β/√α

=) α+β/√αβ..

=) [-b/a] divided by√c/√a

=) [-b/a]×√a/√c

=) -b/√ac