Question

if alpha and beta are zeros of the polynomial6 x square - 5 x + k such that Alpha minus beta is equal to 1 by 6 find the value of k​

Answer 1

Answer:

6x^2+5x-k

α+β=-b/a

-5/6. ...(1)

also,α-β=1/6...(2)

(1)+(2)

2α=-5/6+1/6

2α = - 4/6

α=-1/3

similarly, on subtracting (1)from(2)

2β=1/6+5/6

2β=6/6 or 1  

β=1/2

now,αβ=-k/6

-1/3*1/2=-k/6

-1/6=-k/6

k=1

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