Question

for what value of k the en. x^2+4kx +4=0 has equal roots
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Answer 1

Step-by-step explanation:

Given: polynomial x

2

−kx+4=0, has equal real roots

To find the value of k

sol: A quadratic equation has equal real roots if the discriminant b

2

−4ac=0

x

2

−kx+4=0 is of form ax

2

+bx+c=0

∴a=1,b=−k,c=4

Hence th discriminant is

(−k)

2

−4(1)(4)=0

⟹k

2

−16=0

⟹k

2

=16

Therefore, k=±4