x(x-1)=3,059.975

Solution for x(x-1)=3,059.975 equation:

x(x-1)=3.059.975

We move all terms to the left:

x(x-1)-(3.059.975)=0

We add all the numbers together, and all the variables

x(x-1)-(2.982525)=0

We add all the numbers together, and all the variables

x(x-1)-2.982525=0

We multiply parentheses

x^2-1x-2.982525=0

a = 1; b = -1; c = -2.982525;
Δ = b2-4ac
Δ = -12-4·1·(-2.982525)
Δ = 12.9301
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{-(-1)-\sqrt{12.9301}}{2*1}=\frac{1-\sqrt{12.9301}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{12.9301}}{2*1}=\frac{1+\sqrt{12.9301}}{2}
$