Question

alpha and beta are the zeros of the quadratic polynomial x^2-5x+k and alpha-beta= -1. find k

Answer 1

Hey!!

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Refer to the attachment

=> k = 6

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Answer 2

Answer:

Step-by-step explanation:

let α=a

     β=b

given x^2-5x+k

now α+β=-(-5)/1=5

a+b=5.................eq.1

and a-b=1.............eq.2

subtracting eq.2 from eq.1

a+b=5

a-b=1

this →2a=4

        a= 2

writing a in eq.1

we get=2+b=5

          = b=3

now  αβ=c/a

        here α=a β=b

2*3=k

k=6