3430=4.9t^2

Solution for 3430=4.9t^2 equation:

3430=4.9t^2

We move all terms to the left:

3430-(4.9t^2)=0

We get rid of parentheses

-4.9t^2+3430=0

a = -4.9; b = 0; c = +3430;
Δ = b2-4ac
Δ = 02-4·(-4.9)·3430
Δ = 67228
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{67228}=\sqrt{9604*7}=\sqrt{9604}*\sqrt{7}=98\sqrt{7}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-98\sqrt{7}}{2*-4.9}=\frac{0-98\sqrt{7}}{-9.8}
=-\frac{98\sqrt{7}}{-9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+98\sqrt{7}}{2*-4.9}=\frac{0+98\sqrt{7}}{-9.8}
=\frac{98\sqrt{7}}{-9.8}
$