10.64=4.905t^2

Solution for 10.64=4.905t^2 equation:

10.64=4.905t^2

We move all terms to the left:

10.64-(4.905t^2)=0

We get rid of parentheses

-4.905t^2+10.64=0

a = -4.905; b = 0; c = +10.64;
Δ = b2-4ac
Δ = 02-4·(-4.905)·10.64
Δ = 208.7568
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{208.7568}}{2*-4.905}=\frac{0-\sqrt{208.7568}}{-9.81}
=-\frac{\sqrt{}}{-9.81}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{208.7568}}{2*-4.905}=\frac{0+\sqrt{208.7568}}{-9.81}
=\frac{\sqrt{}}{-9.81}
$