Solving a word problem using quadratic equation with irrational roots

Question

h=5+35t-16t²

Answer 1

looks like a position function, where something is thrown up in the air and it falls back down.

H is the height of the object over time.

The starting position is 5 feet above the ground.

the initial speed is 35

A=-16 B=35 C=5

times where it hits the ground:

[ -35 +or- sqrt( 1225 - 4*-16*5)]/-32

[ -35 +or- sqrt( 1225 + 320)]/-32

[ -35 +or- sqrt( 1545)]/ -32

35/32 -or+ sqrt(1545)/32

(35 + sqrt(1545))/ 32 = 2.3220777504....