Find the values of p for which the quadratic equation 4x2 + px + 3 = 0 has equal roots.

Step-by-step explanation:

You need to concern yourself with the +3. That will determine what the equal roots are.

(2x + √3)^2

Now expand this to see what p is. (Kind of a nasty question if you ask me).

4x^2 + 2x*√3 + (√3)^2

4x^2 + 2√3 x + 3

So the answer is p = 2√

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.