Question

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

Answer 1

Answer:

9/4

Step-by-step explanation:

put the value of x in eq 1

16 + (-4)p -4 =0

p = 3

put the value of p in eq 2

x^2 + 3x + k = 0

Discriminant,D = B^2 - 4AC

for equal roots, D = 0

putting above values,

9 - 4k = 0

k = 9/4

Answer 2

Step-by-step explanation:

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

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