Question

If (-4) is a root of the equation

2 +px − 4 = 0 and the

equation

2 +px +k = 0 has equal roots, find the value of k​

Answer 1

Answer:

It is given that -4 is a root of the equation x² + px − 4 = 0.

Then, -4 must satisfy the equation,

(−4)² +p×(−4) − 4 = 0

16 − 4p − 4 = 0

4p = 12

p = 3

Now, the equation x² + px + k = 0 has equal roots

Therefore,

Discriminant, D=0 ⟹ b² −4ac = 0

p² −4k = 0

9 − 4k = 0

k = 4/9

Therefore, p = 3 and k = 4/9.

Answer 2

Answer:

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