H=-16t^2+46t+6 after how many seconds will the ball hit the ground?

Ball hit the ground is when the function equals zero
0=-16t^2+46t+6
we can't factor so use quadraticformula

for
ax^2+bx+c=0
x=
x=
x=
x=
x=
x= or
x= or x=
x=-1/6 or x=3

we cannot have negative time because time starts at 0
disregard -1/6 as a possible answer

answer is after 3 seconds