Question

α,β, γ are zeroes of cubic polynomial x3-2x2+qx-r. If α+β = 0 then show that 2q=r.​

Answer 1

Answer:

here your answer...

if you can see the sum of the roots is-b/a

that is a+b+c=-(-2)/1

and the sum of two roots is 0

so c=+2---------(1)

sum of product of two pair of consecutive roots = c/a

that is ab+bc+a=q/1

and abc=r that is -d/A

ab+c(a+b)=q

ab=q-----------(2)

abc=r====> q×c=r from eq.2

and from eq.1 we will get 2×q=r, hence proved .....

please mark brainliest...

have a nice day

:)

Answer 2

Answer:

A card is drawn from an ordinary pack and a gambler bets that it is a spade or an ace.

What are the odds against his winning this bet?