Question

find the value of k for each of the following quadratic equations so that they have two equal roots (2k+1)x^2+2(k+3)x+(k+5)=0​

Answer 1

Answer:

If 2x

2

+kx+3=0 has equal roots, then b

2

−4ac=0.

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

x

2

+kx+3=0

b

2

−4ac=0

k

2

−4(2)(3)=0

k

2

=24

k=±

24

=±2

6