2.4=4.90t^2

Solution for 2.4=4.90t^2 equation:

2.4=4.90t^2

We move all terms to the left:

2.4-(4.90t^2)=0

We get rid of parentheses

-4.90t^2+2.4=0

We add all the numbers together, and all the variables

-4.9t^2+2.4=0

a = -4.9; b = 0; c = +2.4;
Δ = b2-4ac
Δ = 02-4·(-4.9)·2.4
Δ = 47.04
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{47.04}}{2*-4.9}=\frac{0-\sqrt{47.04}}{-9.8}
=-\frac{\sqrt{}}{-9.8}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{47.04}}{2*-4.9}=\frac{0+\sqrt{47.04}}{-9.8}
=\frac{\sqrt{}}{-9.8}
$