Question

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

Answer 1

Answer:

25/4

Step-by-step explanation:

put -4 in first equation get p=5

new equation is x^2+5x+k has equal roots so D=0

25-4k=0

so k=25/4

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Marks as brainliest

Answer 2

Answer:

K=25/4

Step-by-step explanation:

If one root of equation 1 is -4 then by product of roots another root will be -1

Now -p will be sum of root

which is equal to -5

therefore p=5

now if equation 2 have equal roots its discriminant must be 0

so, P^2 -4(1×k)=0

= 25-4k=0

k=25/4