.51=4.9t^2

Solution for .51=4.9t^2 equation:

.51=4.9t^2

We move all terms to the left:

.51-(4.9t^2)=0

We add all the numbers together, and all the variables

-(4.9t^2)+0.51=0

We get rid of parentheses

-4.9t^2+0.51=0

a = -4.9; b = 0; c = +0.51;
Δ = b2-4ac
Δ = 02-4·(-4.9)·0.51
Δ = 9.996
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{9.996}}{2*-4.9}=\frac{0-\sqrt{9.996}}{-9.8}
=-\frac{\sqrt{}}{-9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{9.996}}{2*-4.9}=\frac{0+\sqrt{9.996}}{-9.8}
=\frac{\sqrt{}}{-9.8}
$