x=-(5+3,3)/2000

Solution for x=-(5+3,3)/2000 equation:

x=-(5+3.3)/2000

We move all terms to the left:

x-(-(5+3.3)/2000)=0

We add all the numbers together, and all the variables

x-(-(8.3)/2000)=0

We multiply all the terms by the denominator


x*2000)-(-(8.3)=0

We add all the numbers together, and all the variables

x*2000)-(-8.3=0

Wy multiply elements

2000x^2-8.3=0

a = 2000; b = 0; c = -8.3;
Δ = b2-4ac
Δ = 02-4·2000·(-8.3)
Δ = 66400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{66400}=\sqrt{400*166}=\sqrt{400}*\sqrt{166}=20\sqrt{166}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{166}}{2*2000}=\frac{0-20\sqrt{166}}{4000}
=-\frac{20\sqrt{166}}{4000}
=-\frac{\sqrt{166}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{166}}{2*2000}=\frac{0+20\sqrt{166}}{4000}
=\frac{20\sqrt{166}}{4000}
=\frac{\sqrt{166}}{200}
$