1814.4=5.6t(2)

Solution for 1814.4=5.6t(2) equation:

1814.4=5.6t(2)

We move all terms to the left:

1814.4-(5.6t(2))=0

We add all the numbers together, and all the variables

-(+5.6t^2)+1814.4=0

We get rid of parentheses

-5.6t^2+1814.4=0

a = -5.6; b = 0; c = +1814.4;
Δ = b2-4ac
Δ = 02-4·(-5.6)·1814.4
Δ = 40642.56
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{40642.56}}{2*-5.6}=\frac{0-\sqrt{40642.56}}{-11.2}
=-\frac{\sqrt{}}{-11.2}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{40642.56}}{2*-5.6}=\frac{0+\sqrt{40642.56}}{-11.2}
=\frac{\sqrt{}}{-11.2}
$