.19=4.9x^2

Solution for .19=4.9x^2 equation:

.19=4.9x^2

We move all terms to the left:

.19-(4.9x^2)=0

We add all the numbers together, and all the variables

-(4.9x^2)+0.19=0

We get rid of parentheses

-4.9x^2+0.19=0

a = -4.9; b = 0; c = +0.19;
Δ = b2-4ac
Δ = 02-4·(-4.9)·0.19
Δ = 3.724
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{3.724}}{2*-4.9}=\frac{0-\sqrt{3.724}}{-9.8}
=-\frac{\sqrt{}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3.724}}{2*-4.9}=\frac{0+\sqrt{3.724}}{-9.8}
=\frac{\sqrt{}}{-9.8}
$