100x^2+2x=4.83

Solution for 100x^2+2x=4.83 equation:

100x^2+2x=4.83

We move all terms to the left:

100x^2+2x-(4.83)=0

We add all the numbers together, and all the variables

100x^2+2x-4.83=0

a = 100; b = 2; c = -4.83;
Δ = b2-4ac
Δ = 22-4·100·(-4.83)
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-44}{2*100}=\frac{-46}{200}
=-23/100
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+44}{2*100}=\frac{42}{200}
=21/100
$