x(X+2)=4.83

Solution for x(X+2)=4.83 equation:

x(x+2)=4.83

We move all terms to the left:

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

We add all the numbers together, and all the variables

x(x+2)-4.83=0

We multiply parentheses

x^2+2x-4.83=0

a = 1; b = 2; c = -4.83;
Δ = b2-4ac
Δ = 22-4·1·(-4.83)
Δ = 23.32
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{-(2)-\sqrt{23.32}}{2*1}=\frac{-2-\sqrt{23.32}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{23.32}}{2*1}=\frac{-2+\sqrt{23.32}}{2}
$