x*(x+2/100)=4.83

Solution for x*(x+2/100)=4.83 equation:

x(x+2/100)=4.83

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We add all the numbers together, and all the variables

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

We multiply parentheses

x^2+2x^2-4.83=0

We add all the numbers together, and all the variables

3x^2-4.83=0

a = 3; b = 0; c = -4.83;
Δ = b2-4ac
Δ = 02-4·3·(-4.83)
Δ = 57.96
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{57.96}}{2*3}=\frac{0-\sqrt{57.96}}{6}
=-\frac{\sqrt{}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{57.96}}{2*3}=\frac{0+\sqrt{57.96}}{6}
=\frac{\sqrt{}}{6}
$