x^2+85.2-579.36=0

Solution for x^2+85.2-579.36=0 equation:

x^2+85.2-579.36=0

We add all the numbers together, and all the variables

x^2-494.16=0

a = 1; b = 0; c = -494.16;
Δ = b2-4ac
Δ = 02-4·1·(-494.16)
Δ = 1976.64
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{1976.64}}{2*1}=\frac{0-\sqrt{1976.64}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1976.64}}{2*1}=\frac{0+\sqrt{1976.64}}{2}
=\frac{\sqrt{}}{2}
$