If the roots of ax² + bx + c = 0 differ by 3. Show that b² =9a² + 4ac​

An astronaut drops a rock into a crater on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t)0.82. what is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

1. what are the missing reasons in the proof 2. it's in the second picture and 3

You eat 8 strawberries and your friend eats 12 strawberries from a bowl. there are 20 strawberries left. which equation and solution give the original number of strawberries?