Question

what value or values of k will the roots of 3x2−2kx+3=0 be equal?

Answer 1

Answer:

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Step-by-step explanation:

The given equation 3x  

2

+2kx+27=0

Here, a=3,b=2k,c=27

It is given that roots are real and equal.

∴  b  

2

−4ac=0

⇒  (2k)  

2

−4(3)(27)=0

⇒  4k  

2

−324=0

⇒  4k  

2

=324

⇒  k  

2

=81

∴  k=±9

Answer 2

The given equation 3x

2

+2kx+27=0

Here, a=3,b=2k,c=27

It is given that roots are real and equal.

∴ b

2

−4ac=0

⇒ (2k)

2

−4(3)(27)=0

⇒ 4k

2

−324=0

⇒ 4k

2

=324

⇒ k

2

=81

∴ k=±9