Question

. A car is moving at a velocity of 20m/s. The brakes are applied to retardation it at the rate of 3m/s². What will be the velocity after 6 s of applying the brakes ?
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Answer 1

Explanation:

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

ii)

If kx

2

−2kx+6=0 has equal roots, then b

2

−4ac=0.

Here, a=k,b=−2k,c=6

kx(x−2)+6=0

kx

2

−2kx+6=0

4k

2

−4(k)(6)=0

4k

2

−24k=0

4k(k−6)=0

For k=0, equation is not quadratic.

k=6