Question

If alpha and beta are the zeroes of the polynomial x*2-5x+3(k-1)and alpha-beta=11 and beta =11 find k

Answer 1

Answer:

Step-by-step explanation:

alpha+beta=-(-5)/1 i.e. 5.....(1)

alpha-beta=11 ( Given) .......(2)

By adding (1) & (2) we get

2*alpha= 11+5 = 16

--->alpha =8

And from (1)

Beta = 5-alpha

= 5-8, by putting alpha=8

=-3

Again we know product of alpha and beta is 3(k-1)

i.e. 3(k-1)=8*(-3)

---> k-1=-8

And k =-7

Answer 2

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