Question

Find k, for which the given quadratic equation has equal roots: ( − 4)

2 +

2( − 4) + 4 = 0.​

Answer 1

Answer:

Given: quadratic equation 4x  

2

+4  

3

​  

x+k=0, has equal roots

An equation has equal roots if the discriminant b  

2

−4ac=0

In the given equation, a=4,b=4  

3

​  

,c=k

Therefore the discriminant is (4  

3

​  

)  

2

−4(4)(k)=0

48−16k=0

⟹16k=48

Therefore, k=3