0=159.44-9.8t2

Solution for 0=159.44-9.8t2 equation:

0=159.44-9.8t^2

We move all terms to the left:

0-(159.44-9.8t^2)=0

We add all the numbers together, and all the variables

-(159.44-9.8t^2)=0

We get rid of parentheses

9.8t^2-159.44=0

a = 9.8; b = 0; c = -159.44;
Δ = b2-4ac
Δ = 02-4·9.8·(-159.44)
Δ = 6250.048
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{6250.048}}{2*9.8}=\frac{0-\sqrt{6250.048}}{19.6}
=-\frac{\sqrt{}}{19.6}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{6250.048}}{2*9.8}=\frac{0+\sqrt{6250.048}}{19.6}
=\frac{\sqrt{}}{19.6}
$