Question

the discriminant of the question 3x^2 - 4 x - k =0 is zero. find the nature of roots and the value of k..
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Answer 1

Answer:

⇒ The given quadratic equation is 3x

2

−4x+k=0, comparing it with ax

2

+bx+c=0

⇒ We get, x=3,b=−4,c=k

⇒ b

2

−4ac=64 [ Given ]

⇒ (−4)

2

−4(3)(k)=64

⇒ 16−12k=64

⇒ −12k=48

⇒ k=

12

−48

∴ k=−4