Question

Determine the value of a for which the quadratic equation
y2 + 7(3 + 2a) – 2y(1 + 3a) = 0 has equal roots

Answer 1

Step-by-step explanation:

ANSWER

Nature of the roots for a quadratic equation ax

2

+bx+c=0 , can be determined by its discriminant

D=b

2

−4ac

Here, given quadratic equation is 4x

2

−3kx+1=0

Putting the value of a,b,c, we get

D=(−3k)

2

−4×4×1

⇒9k

2

−16=0

⇒9k

2

=16

⇒k

2

=

9

16

⇒k=± 4

__

3

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