Solve using quadratic formula: As part of a science experiment, Carson designs and creates a cushioned egg carrier. He puts an egg inside it, and then drops it from a window to see whether his design can safely cushion the egg and keep it from breaking. The egg’s height in feet x seconds after being dropped is given by27−16x2. After how many seconds will the egg hit the ground? Round your answer to the nearest hundredth, if necessary.