Question

if alpha and beta are two zeroes of a quadratic polynomial f(x) = x^2 - 5x + k and alpha - beta = 1 find the value of k

Answer 1

here is your ans.
mohammad ruman

Answer 2

Answer:6

Step-by-step explanation:

Here what you need to know is that the subraction of roots of a quadratic equation ax²+bx+c=0 is (√D)/a.

Where,

D=b²-4ac

Let α & β be roots of quadratic equation x²-5x+k

D=25-4k

α-β=(√D)/a

1=√(25-4k)

On solving the equation we get k = 6...

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