5.01=200-4.9t^2

Solution for 5.01=200-4.9t^2 equation:

5.01=200-4.9t^2

We move all terms to the left:

5.01-(200-4.9t^2)=0

We get rid of parentheses

4.9t^2-200+5.01=0

We add all the numbers together, and all the variables

4.9t^2-194.99=0

a = 4.9; b = 0; c = -194.99;
Δ = b2-4ac
Δ = 02-4·4.9·(-194.99)
Δ = 3821.804
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{3821.804}}{2*4.9}=\frac{0-\sqrt{3821.804}}{9.8}
=-\frac{\sqrt{}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3821.804}}{2*4.9}=\frac{0+\sqrt{3821.804}}{9.8}
=\frac{\sqrt{}}{9.8}
$