4.9t^2=719.6t

Solution for 4.9t^2=719.6t equation:

4.9t^2=719.6t

We move all terms to the left:

4.9t^2-(719.6t)=0

We add all the numbers together, and all the variables

4.9t^2-(+719.6t)=0

We get rid of parentheses

4.9t^2-719.6t=0

a = 4.9; b = -719.6; c = 0;
Δ = b2-4ac
Δ = -719.62-4·4.9·0
Δ = 517824.16
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{-(-719.6)-\sqrt{517824.16}}{2*4.9}=\frac{719.6-\sqrt{517824.16}}{9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-719.6)+\sqrt{517824.16}}{2*4.9}=\frac{719.6+\sqrt{517824.16}}{9.8}
$