A person throws a ball upward from a 506 foot tall building the balls height h in feet after t seconds is given by the equation h = - 16t^2+48t+506 the ball lands on a balcony that is 218 feet above the ground how many seconds was it in the air

A person throws a ball upward from a 506 foot tall building the balls height h in feet after t seconds is given by the equation h = - 16t^2+48t+506 the ball lands on a balcony that is 218 feet above the ground how many seconds was it in the air.

h = - 16t²+48t+506

Rewrite 506 as 2·253

Rewrite 48 as 2·24

Rewrite 16 as 2·8

=-2·8t²+2·24t+2·253

=-2 (8t²-24t-253)