Question

The value of k for which the roots of the equation 2x2 + kx + k – 3 =
0 are reciprocal to each other is
(a) 5
(b) – 5
(c) - 2
(d) 2.
5.​

Answer 1

Step-by-step explanation:

Since x=2 is a root of the equation

2x

2

+kx−6=0

2k+2=0

k=−1

Putting k =-1 in the given equation, we get,

2x

2

−x−6=0

(x−2)(2x+3)=0

x=2,−

2

3

Hence, the other root is −

2

3

.

Hope it's helpful to you

Answer 2

Step-by-step explanation:

Given the equation is 2x

2 −kx+3=0.

The discriminant of this equation =b 2 −4ac=.

(−k) 2 −4×2.×3=k 2 −24.

Since the roots of the quadratic equation are all real and equal then the discriminant will be zero.

Then we've,

k 2−24=0

or, k 2=24

or, k=±2 √6