4.83=x(x+2)

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

4.83=x(x+2)

We move all terms to the left:

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


We calculate terms in parentheses: -(x(x+2)), so:

x(x+2)

We multiply parentheses

x^2+2x

Back to the equation:

-(x^2+2x)


We get rid of parentheses

-x^2-2x+4.83=0

We add all the numbers together, and all the variables

-1x^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}
$