AM-1625

Discriminant and nature of roots

A Math · Secondary 4 · Medium · Discriminant and nature of roots

A quadratic graph has equation

y=x^2+(8-2k)x+k+4

, where

k

is a constant. The graph cuts the

x

-axis at points

A

and

B

. Given that the midpoint of

AB

(3,0)

, find the value of

k

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