If -4 is a root of the quadratic equation x2+px-4=k and the quadratic equation x2+px+k=0 has equal roots. Find the value of k

since -4 is the root of the quadratic equation .......(1)

therefore x=-4 will satisfy the equation (1).

the quadratic equation ........(3)has equal roots.

therefore the discriminant of the equation (3) is equal to zero.

by (2) and (4) :

hope this helps you.

 

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